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Finding the Third Proportional to 132,059.50 and 284,759

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Solution

The third proportional to 132,059.50 and 284,759 is: 614,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,059.50 : 284,759 = 284,759 : x
  2. Step 2: Convert to fraction form
    132,059.50/284,759 = 284,759/x
  3. Step 3: Cross multiply
    132,059.50x = 284,759 × 284,759
  4. Step 4: Simplify right side
    132,059.50x = 81,087,688,081
  5. Step 5: Solve for x
    x = 81,087,688,081/132,059.50
  6. Step 6: Final answer
    x = 614,023.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.