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Finding the Third Proportional to 56,724 and 120,902

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Solution

The third proportional to 56,724 and 120,902 is: 257,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,724 : 120,902 = 120,902 : x
  2. Step 2: Convert to fraction form
    56,724/120,902 = 120,902/x
  3. Step 3: Cross multiply
    56,724x = 120,902 × 120,902
  4. Step 4: Simplify right side
    56,724x = 14,617,293,604
  5. Step 5: Solve for x
    x = 14,617,293,604/56,724
  6. Step 6: Final answer
    x = 257,691.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.