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Finding the Third Proportional to 106,707.38 and 160,765.38

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Solution

The third proportional to 106,707.38 and 160,765.38 is: 242,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,707.38 : 160,765.38 = 160,765.38 : x
  2. Step 2: Convert to fraction form
    106,707.38/160,765.38 = 160,765.38/x
  3. Step 3: Cross multiply
    106,707.38x = 160,765.38 × 160,765.38
  4. Step 4: Simplify right side
    106,707.38x = 25,845,508,310.85
  5. Step 5: Solve for x
    x = 25,845,508,310.85/106,707.38
  6. Step 6: Final answer
    x = 242,209.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.