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Finding the Third Proportional to 69,472 and 107,508

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Solution

The third proportional to 69,472 and 107,508 is: 166,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,472 : 107,508 = 107,508 : x
  2. Step 2: Convert to fraction form
    69,472/107,508 = 107,508/x
  3. Step 3: Cross multiply
    69,472x = 107,508 × 107,508
  4. Step 4: Simplify right side
    69,472x = 11,557,970,064
  5. Step 5: Solve for x
    x = 11,557,970,064/69,472
  6. Step 6: Final answer
    x = 166,368.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.