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Finding the Third Proportional to 124,765.88 and 176,536.69

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Solution

The third proportional to 124,765.88 and 176,536.69 is: 249,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,765.88 : 176,536.69 = 176,536.69 : x
  2. Step 2: Convert to fraction form
    124,765.88/176,536.69 = 176,536.69/x
  3. Step 3: Cross multiply
    124,765.88x = 176,536.69 × 176,536.69
  4. Step 4: Simplify right side
    124,765.88x = 31,165,202,033.47
  5. Step 5: Solve for x
    x = 31,165,202,033.47/124,765.88
  6. Step 6: Final answer
    x = 249,789.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.