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Finding the Third Proportional to 61,470.50 and 91,812

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Solution

The third proportional to 61,470.50 and 91,812 is: 137,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,470.50 : 91,812 = 91,812 : x
  2. Step 2: Convert to fraction form
    61,470.50/91,812 = 91,812/x
  3. Step 3: Cross multiply
    61,470.50x = 91,812 × 91,812
  4. Step 4: Simplify right side
    61,470.50x = 8,429,443,344
  5. Step 5: Solve for x
    x = 8,429,443,344/61,470.50
  6. Step 6: Final answer
    x = 137,129.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.