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Finding the Third Proportional to 52,407 and 113,674

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Solution

The third proportional to 52,407 and 113,674 is: 246,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407 : 113,674 = 113,674 : x
  2. Step 2: Convert to fraction form
    52,407/113,674 = 113,674/x
  3. Step 3: Cross multiply
    52,407x = 113,674 × 113,674
  4. Step 4: Simplify right side
    52,407x = 12,921,778,276
  5. Step 5: Solve for x
    x = 12,921,778,276/52,407
  6. Step 6: Final answer
    x = 246,565.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.