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Finding the Third Proportional to 71,317.13 and 153,920.25

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Solution

The third proportional to 71,317.13 and 153,920.25 is: 332,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,317.13 : 153,920.25 = 153,920.25 : x
  2. Step 2: Convert to fraction form
    71,317.13/153,920.25 = 153,920.25/x
  3. Step 3: Cross multiply
    71,317.13x = 153,920.25 × 153,920.25
  4. Step 4: Simplify right side
    71,317.13x = 23,691,443,360.06
  5. Step 5: Solve for x
    x = 23,691,443,360.06/71,317.13
  6. Step 6: Final answer
    x = 332,198.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.