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Finding the Third Proportional to 73,527.75 and 116,842.50

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Solution

The third proportional to 73,527.75 and 116,842.50 is: 185,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,527.75 : 116,842.50 = 116,842.50 : x
  2. Step 2: Convert to fraction form
    73,527.75/116,842.50 = 116,842.50/x
  3. Step 3: Cross multiply
    73,527.75x = 116,842.50 × 116,842.50
  4. Step 4: Simplify right side
    73,527.75x = 13,652,169,806.25
  5. Step 5: Solve for x
    x = 13,652,169,806.25/73,527.75
  6. Step 6: Final answer
    x = 185,673.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.