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Finding the Third Proportional to 100,473.75 and 136,456.13

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Solution

The third proportional to 100,473.75 and 136,456.13 is: 185,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,473.75 : 136,456.13 = 136,456.13 : x
  2. Step 2: Convert to fraction form
    100,473.75/136,456.13 = 136,456.13/x
  3. Step 3: Cross multiply
    100,473.75x = 136,456.13 × 136,456.13
  4. Step 4: Simplify right side
    100,473.75x = 18,620,274,050.02
  5. Step 5: Solve for x
    x = 18,620,274,050.02/100,473.75
  6. Step 6: Final answer
    x = 185,324.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.