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Finding the Third Proportional to 62,716 and 135,031

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Solution

The third proportional to 62,716 and 135,031 is: 290,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,716 : 135,031 = 135,031 : x
  2. Step 2: Convert to fraction form
    62,716/135,031 = 135,031/x
  3. Step 3: Cross multiply
    62,716x = 135,031 × 135,031
  4. Step 4: Simplify right side
    62,716x = 18,233,370,961
  5. Step 5: Solve for x
    x = 18,233,370,961/62,716
  6. Step 6: Final answer
    x = 290,729.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.