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Finding the Third Proportional to 71,892.50 and 155,685

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Solution

The third proportional to 71,892.50 and 155,685 is: 337,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,892.50 : 155,685 = 155,685 : x
  2. Step 2: Convert to fraction form
    71,892.50/155,685 = 155,685/x
  3. Step 3: Cross multiply
    71,892.50x = 155,685 × 155,685
  4. Step 4: Simplify right side
    71,892.50x = 24,237,819,225
  5. Step 5: Solve for x
    x = 24,237,819,225/71,892.50
  6. Step 6: Final answer
    x = 337,139.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.