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Finding the Third Proportional to 107,493 and 169,488

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Solution

The third proportional to 107,493 and 169,488 is: 267,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,493 : 169,488 = 169,488 : x
  2. Step 2: Convert to fraction form
    107,493/169,488 = 169,488/x
  3. Step 3: Cross multiply
    107,493x = 169,488 × 169,488
  4. Step 4: Simplify right side
    107,493x = 28,726,182,144
  5. Step 5: Solve for x
    x = 28,726,182,144/107,493
  6. Step 6: Final answer
    x = 267,237.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.