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Finding the Third Proportional to 41,120 and 88,070

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Solution

The third proportional to 41,120 and 88,070 is: 188,626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,120 : 88,070 = 88,070 : x
  2. Step 2: Convert to fraction form
    41,120/88,070 = 88,070/x
  3. Step 3: Cross multiply
    41,120x = 88,070 × 88,070
  4. Step 4: Simplify right side
    41,120x = 7,756,324,900
  5. Step 5: Solve for x
    x = 7,756,324,900/41,120
  6. Step 6: Final answer
    x = 188,626.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.