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Finding the Third Proportional to 100,474 and 136,456.50

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Solution

The third proportional to 100,474 and 136,456.50 is: 185,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,474 : 136,456.50 = 136,456.50 : x
  2. Step 2: Convert to fraction form
    100,474/136,456.50 = 136,456.50/x
  3. Step 3: Cross multiply
    100,474x = 136,456.50 × 136,456.50
  4. Step 4: Simplify right side
    100,474x = 18,620,376,392.25
  5. Step 5: Solve for x
    x = 18,620,376,392.25/100,474
  6. Step 6: Final answer
    x = 185,325.32

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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.