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Finding the Third Proportional to 100,472 and 136,825

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Solution

The third proportional to 100,472 and 136,825 is: 186,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,472 : 136,825 = 136,825 : x
  2. Step 2: Convert to fraction form
    100,472/136,825 = 136,825/x
  3. Step 3: Cross multiply
    100,472x = 136,825 × 136,825
  4. Step 4: Simplify right side
    100,472x = 18,721,080,625
  5. Step 5: Solve for x
    x = 18,721,080,625/100,472
  6. Step 6: Final answer
    x = 186,331.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.