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Finding the Third Proportional to 86,466 and 129,698

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Solution

The third proportional to 86,466 and 129,698 is: 194,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,466 : 129,698 = 129,698 : x
  2. Step 2: Convert to fraction form
    86,466/129,698 = 129,698/x
  3. Step 3: Cross multiply
    86,466x = 129,698 × 129,698
  4. Step 4: Simplify right side
    86,466x = 16,821,571,204
  5. Step 5: Solve for x
    x = 16,821,571,204/86,466
  6. Step 6: Final answer
    x = 194,545.50

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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.