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Finding the Third Proportional to 71,488 and 106,015

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Solution

The third proportional to 71,488 and 106,015 is: 157,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,488 : 106,015 = 106,015 : x
  2. Step 2: Convert to fraction form
    71,488/106,015 = 106,015/x
  3. Step 3: Cross multiply
    71,488x = 106,015 × 106,015
  4. Step 4: Simplify right side
    71,488x = 11,239,180,225
  5. Step 5: Solve for x
    x = 11,239,180,225/71,488
  6. Step 6: Final answer
    x = 157,217.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.