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Finding the Third Proportional to 101,508 and 136,932

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Solution

The third proportional to 101,508 and 136,932 is: 184,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,508 : 136,932 = 136,932 : x
  2. Step 2: Convert to fraction form
    101,508/136,932 = 136,932/x
  3. Step 3: Cross multiply
    101,508x = 136,932 × 136,932
  4. Step 4: Simplify right side
    101,508x = 18,750,372,624
  5. Step 5: Solve for x
    x = 18,750,372,624/101,508
  6. Step 6: Final answer
    x = 184,718.18

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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.