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Finding the Third Proportional to 120,382 and 161,051

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Solution

The third proportional to 120,382 and 161,051 is: 215,459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,382 : 161,051 = 161,051 : x
  2. Step 2: Convert to fraction form
    120,382/161,051 = 161,051/x
  3. Step 3: Cross multiply
    120,382x = 161,051 × 161,051
  4. Step 4: Simplify right side
    120,382x = 25,937,424,601
  5. Step 5: Solve for x
    x = 25,937,424,601/120,382
  6. Step 6: Final answer
    x = 215,459.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.