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Finding the Third Proportional to 101,920 and 137,652

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Solution

The third proportional to 101,920 and 137,652 is: 185,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,920 : 137,652 = 137,652 : x
  2. Step 2: Convert to fraction form
    101,920/137,652 = 137,652/x
  3. Step 3: Cross multiply
    101,920x = 137,652 × 137,652
  4. Step 4: Simplify right side
    101,920x = 18,948,073,104
  5. Step 5: Solve for x
    x = 18,948,073,104/101,920
  6. Step 6: Final answer
    x = 185,911.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.