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Finding the Third Proportional to 61,627.50 and 132,453

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Solution

The third proportional to 61,627.50 and 132,453 is: 284,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,627.50 : 132,453 = 132,453 : x
  2. Step 2: Convert to fraction form
    61,627.50/132,453 = 132,453/x
  3. Step 3: Cross multiply
    61,627.50x = 132,453 × 132,453
  4. Step 4: Simplify right side
    61,627.50x = 17,543,797,209
  5. Step 5: Solve for x
    x = 17,543,797,209/61,627.50
  6. Step 6: Final answer
    x = 284,674.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.