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Finding the Third Proportional to 60,902 and 132,842

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Solution

The third proportional to 60,902 and 132,842 is: 289,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,902 : 132,842 = 132,842 : x
  2. Step 2: Convert to fraction form
    60,902/132,842 = 132,842/x
  3. Step 3: Cross multiply
    60,902x = 132,842 × 132,842
  4. Step 4: Simplify right side
    60,902x = 17,646,996,964
  5. Step 5: Solve for x
    x = 17,646,996,964/60,902
  6. Step 6: Final answer
    x = 289,760.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.