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Finding the Third Proportional to 138,558 and 202,902

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Solution

The third proportional to 138,558 and 202,902 is: 297,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,558 : 202,902 = 202,902 : x
  2. Step 2: Convert to fraction form
    138,558/202,902 = 202,902/x
  3. Step 3: Cross multiply
    138,558x = 202,902 × 202,902
  4. Step 4: Simplify right side
    138,558x = 41,169,221,604
  5. Step 5: Solve for x
    x = 41,169,221,604/138,558
  6. Step 6: Final answer
    x = 297,126.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.