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Finding the Third Proportional to 100,713.38 and 136,297.69

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Solution

The third proportional to 100,713.38 and 136,297.69 is: 184,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,713.38 : 136,297.69 = 136,297.69 : x
  2. Step 2: Convert to fraction form
    100,713.38/136,297.69 = 136,297.69/x
  3. Step 3: Cross multiply
    100,713.38x = 136,297.69 × 136,297.69
  4. Step 4: Simplify right side
    100,713.38x = 18,577,059,617.85
  5. Step 5: Solve for x
    x = 18,577,059,617.85/100,713.38
  6. Step 6: Final answer
    x = 184,454.74

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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.