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Finding the Third Proportional to 86,016 and 129,060

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Solution

The third proportional to 86,016 and 129,060 is: 193,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,016 : 129,060 = 129,060 : x
  2. Step 2: Convert to fraction form
    86,016/129,060 = 129,060/x
  3. Step 3: Cross multiply
    86,016x = 129,060 × 129,060
  4. Step 4: Simplify right side
    86,016x = 16,656,483,600
  5. Step 5: Solve for x
    x = 16,656,483,600/86,016
  6. Step 6: Final answer
    x = 193,644.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.