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Finding the Third Proportional to 100,782 and 153,171

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Solution

The third proportional to 100,782 and 153,171 is: 232,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,782 : 153,171 = 153,171 : x
  2. Step 2: Convert to fraction form
    100,782/153,171 = 153,171/x
  3. Step 3: Cross multiply
    100,782x = 153,171 × 153,171
  4. Step 4: Simplify right side
    100,782x = 23,461,355,241
  5. Step 5: Solve for x
    x = 23,461,355,241/100,782
  6. Step 6: Final answer
    x = 232,793.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.