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Finding the Third Proportional to 86,713 and 129,711

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Solution

The third proportional to 86,713 and 129,711 is: 194,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,713 : 129,711 = 129,711 : x
  2. Step 2: Convert to fraction form
    86,713/129,711 = 129,711/x
  3. Step 3: Cross multiply
    86,713x = 129,711 × 129,711
  4. Step 4: Simplify right side
    86,713x = 16,824,943,521
  5. Step 5: Solve for x
    x = 16,824,943,521/86,713
  6. Step 6: Final answer
    x = 194,030.23

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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.