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Finding the Third Proportional to 100,238.77 and 132,497.65

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Solution

The third proportional to 100,238.77 and 132,497.65 is: 175,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,238.77 : 132,497.65 = 132,497.65 : x
  2. Step 2: Convert to fraction form
    100,238.77/132,497.65 = 132,497.65/x
  3. Step 3: Cross multiply
    100,238.77x = 132,497.65 × 132,497.65
  4. Step 4: Simplify right side
    100,238.77x = 17,555,626,841.47
  5. Step 5: Solve for x
    x = 17,555,626,841.47/100,238.77
  6. Step 6: Final answer
    x = 175,138.10

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.