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Finding the Third Proportional to 57,338 and 88,561

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Solution

The third proportional to 57,338 and 88,561 is: 136,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,338 : 88,561 = 88,561 : x
  2. Step 2: Convert to fraction form
    57,338/88,561 = 88,561/x
  3. Step 3: Cross multiply
    57,338x = 88,561 × 88,561
  4. Step 4: Simplify right side
    57,338x = 7,843,050,721
  5. Step 5: Solve for x
    x = 7,843,050,721/57,338
  6. Step 6: Final answer
    x = 136,786.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.