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Finding the Third Proportional to 90,162 and 129,870

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Solution

The third proportional to 90,162 and 129,870 is: 187,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,162 : 129,870 = 129,870 : x
  2. Step 2: Convert to fraction form
    90,162/129,870 = 129,870/x
  3. Step 3: Cross multiply
    90,162x = 129,870 × 129,870
  4. Step 4: Simplify right side
    90,162x = 16,866,216,900
  5. Step 5: Solve for x
    x = 16,866,216,900/90,162
  6. Step 6: Final answer
    x = 187,065.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.