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Finding the Third Proportional to 108,524 and 161,211

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Solution

The third proportional to 108,524 and 161,211 is: 239,476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,524 : 161,211 = 161,211 : x
  2. Step 2: Convert to fraction form
    108,524/161,211 = 161,211/x
  3. Step 3: Cross multiply
    108,524x = 161,211 × 161,211
  4. Step 4: Simplify right side
    108,524x = 25,988,986,521
  5. Step 5: Solve for x
    x = 25,988,986,521/108,524
  6. Step 6: Final answer
    x = 239,476.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.