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Finding the Third Proportional to 52,407 and 108,567

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Solution

The third proportional to 52,407 and 108,567 is: 224,908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407 : 108,567 = 108,567 : x
  2. Step 2: Convert to fraction form
    52,407/108,567 = 108,567/x
  3. Step 3: Cross multiply
    52,407x = 108,567 × 108,567
  4. Step 4: Simplify right side
    52,407x = 11,786,793,489
  5. Step 5: Solve for x
    x = 11,786,793,489/52,407
  6. Step 6: Final answer
    x = 224,908.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.