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Finding the Third Proportional to 67,837.50 and 99,724.13

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Solution

The third proportional to 67,837.50 and 99,724.13 is: 146,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,837.50 : 99,724.13 = 99,724.13 : x
  2. Step 2: Convert to fraction form
    67,837.50/99,724.13 = 99,724.13/x
  3. Step 3: Cross multiply
    67,837.50x = 99,724.13 × 99,724.13
  4. Step 4: Simplify right side
    67,837.50x = 9,944,901,107.02
  5. Step 5: Solve for x
    x = 9,944,901,107.02/67,837.50
  6. Step 6: Final answer
    x = 146,598.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.