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Finding the Third Proportional to 63,972.75 and 148,717.88

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Solution

The third proportional to 63,972.75 and 148,717.88 is: 345,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,972.75 : 148,717.88 = 148,717.88 : x
  2. Step 2: Convert to fraction form
    63,972.75/148,717.88 = 148,717.88/x
  3. Step 3: Cross multiply
    63,972.75x = 148,717.88 × 148,717.88
  4. Step 4: Simplify right side
    63,972.75x = 22,117,006,344.52
  5. Step 5: Solve for x
    x = 22,117,006,344.52/63,972.75
  6. Step 6: Final answer
    x = 345,725.43

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.