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Finding the Third Proportional to 52,137 and 86,292

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Solution

The third proportional to 52,137 and 86,292 is: 142,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,137 : 86,292 = 86,292 : x
  2. Step 2: Convert to fraction form
    52,137/86,292 = 86,292/x
  3. Step 3: Cross multiply
    52,137x = 86,292 × 86,292
  4. Step 4: Simplify right side
    52,137x = 7,446,309,264
  5. Step 5: Solve for x
    x = 7,446,309,264/52,137
  6. Step 6: Final answer
    x = 142,821.97

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.