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Finding the Third Proportional to 60,016 and 96,674

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Solution

The third proportional to 60,016 and 96,674 is: 155,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,016 : 96,674 = 96,674 : x
  2. Step 2: Convert to fraction form
    60,016/96,674 = 96,674/x
  3. Step 3: Cross multiply
    60,016x = 96,674 × 96,674
  4. Step 4: Simplify right side
    60,016x = 9,345,862,276
  5. Step 5: Solve for x
    x = 9,345,862,276/60,016
  6. Step 6: Final answer
    x = 155,722.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.