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Finding the Third Proportional to 88,193.25 and 132,488.58

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Solution

The third proportional to 88,193.25 and 132,488.58 is: 199,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,193.25 : 132,488.58 = 132,488.58 : x
  2. Step 2: Convert to fraction form
    88,193.25/132,488.58 = 132,488.58/x
  3. Step 3: Cross multiply
    88,193.25x = 132,488.58 × 132,488.58
  4. Step 4: Simplify right side
    88,193.25x = 17,553,223,333.58
  5. Step 5: Solve for x
    x = 17,553,223,333.58/88,193.25
  6. Step 6: Final answer
    x = 199,031.37

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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.