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Finding the Third Proportional to 119,040.75 and 184,527.56

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Solution

The third proportional to 119,040.75 and 184,527.56 is: 286,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,040.75 : 184,527.56 = 184,527.56 : x
  2. Step 2: Convert to fraction form
    119,040.75/184,527.56 = 184,527.56/x
  3. Step 3: Cross multiply
    119,040.75x = 184,527.56 × 184,527.56
  4. Step 4: Simplify right side
    119,040.75x = 34,050,421,322.19
  5. Step 5: Solve for x
    x = 34,050,421,322.19/119,040.75
  6. Step 6: Final answer
    x = 286,040.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.