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Finding the Third Proportional to 86,320 and 132,498

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Solution

The third proportional to 86,320 and 132,498 is: 203,379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,320 : 132,498 = 132,498 : x
  2. Step 2: Convert to fraction form
    86,320/132,498 = 132,498/x
  3. Step 3: Cross multiply
    86,320x = 132,498 × 132,498
  4. Step 4: Simplify right side
    86,320x = 17,555,720,004
  5. Step 5: Solve for x
    x = 17,555,720,004/86,320
  6. Step 6: Final answer
    x = 203,379.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.