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Finding the Third Proportional to 86,598 and 129,548

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Solution

The third proportional to 86,598 and 129,548 is: 193,799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,598 : 129,548 = 129,548 : x
  2. Step 2: Convert to fraction form
    86,598/129,548 = 129,548/x
  3. Step 3: Cross multiply
    86,598x = 129,548 × 129,548
  4. Step 4: Simplify right side
    86,598x = 16,782,684,304
  5. Step 5: Solve for x
    x = 16,782,684,304/86,598
  6. Step 6: Final answer
    x = 193,799.91

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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.