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Finding the Third Proportional to 56,432.25 and 133,207.88

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Solution

The third proportional to 56,432.25 and 133,207.88 is: 314,436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,432.25 : 133,207.88 = 133,207.88 : x
  2. Step 2: Convert to fraction form
    56,432.25/133,207.88 = 133,207.88/x
  3. Step 3: Cross multiply
    56,432.25x = 133,207.88 × 133,207.88
  4. Step 4: Simplify right side
    56,432.25x = 17,744,337,962.02
  5. Step 5: Solve for x
    x = 17,744,337,962.02/56,432.25
  6. Step 6: Final answer
    x = 314,436.12

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.