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Finding the Third Proportional to 59,972.27 and 128,248.31

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Solution

The third proportional to 59,972.27 and 128,248.31 is: 274,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,972.27 : 128,248.31 = 128,248.31 : x
  2. Step 2: Convert to fraction form
    59,972.27/128,248.31 = 128,248.31/x
  3. Step 3: Cross multiply
    59,972.27x = 128,248.31 × 128,248.31
  4. Step 4: Simplify right side
    59,972.27x = 16,447,629,659.10
  5. Step 5: Solve for x
    x = 16,447,629,659.10/59,972.27
  6. Step 6: Final answer
    x = 274,253.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.