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Finding the Third Proportional to 108,532 and 169,743

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Solution

The third proportional to 108,532 and 169,743 is: 265,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,532 : 169,743 = 169,743 : x
  2. Step 2: Convert to fraction form
    108,532/169,743 = 169,743/x
  3. Step 3: Cross multiply
    108,532x = 169,743 × 169,743
  4. Step 4: Simplify right side
    108,532x = 28,812,686,049
  5. Step 5: Solve for x
    x = 28,812,686,049/108,532
  6. Step 6: Final answer
    x = 265,476.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.