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Finding the Third Proportional to 53,737 and 126,396

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Solution

The third proportional to 53,737 and 126,396 is: 297,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,737 : 126,396 = 126,396 : x
  2. Step 2: Convert to fraction form
    53,737/126,396 = 126,396/x
  3. Step 3: Cross multiply
    53,737x = 126,396 × 126,396
  4. Step 4: Simplify right side
    53,737x = 15,975,948,816
  5. Step 5: Solve for x
    x = 15,975,948,816/53,737
  6. Step 6: Final answer
    x = 297,298.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.