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Finding the Third Proportional to 109,532 and 169,134

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Solution

The third proportional to 109,532 and 169,134 is: 261,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,532 : 169,134 = 169,134 : x
  2. Step 2: Convert to fraction form
    109,532/169,134 = 169,134/x
  3. Step 3: Cross multiply
    109,532x = 169,134 × 169,134
  4. Step 4: Simplify right side
    109,532x = 28,606,309,956
  5. Step 5: Solve for x
    x = 28,606,309,956/109,532
  6. Step 6: Final answer
    x = 261,168.52

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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.