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Finding the Third Proportional to 119,903.63 and 184,776.75

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Solution

The third proportional to 119,903.63 and 184,776.75 is: 284,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,903.63 : 184,776.75 = 184,776.75 : x
  2. Step 2: Convert to fraction form
    119,903.63/184,776.75 = 184,776.75/x
  3. Step 3: Cross multiply
    119,903.63x = 184,776.75 × 184,776.75
  4. Step 4: Simplify right side
    119,903.63x = 34,142,447,340.56
  5. Step 5: Solve for x
    x = 34,142,447,340.56/119,903.63
  6. Step 6: Final answer
    x = 284,749.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.