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Finding the Third Proportional to 56,565 and 120,654

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Solution

The third proportional to 56,565 and 120,654 is: 257,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,565 : 120,654 = 120,654 : x
  2. Step 2: Convert to fraction form
    56,565/120,654 = 120,654/x
  3. Step 3: Cross multiply
    56,565x = 120,654 × 120,654
  4. Step 4: Simplify right side
    56,565x = 14,557,387,716
  5. Step 5: Solve for x
    x = 14,557,387,716/56,565
  6. Step 6: Final answer
    x = 257,356.81

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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.