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Finding the Third Proportional to 100,565 and 149,107

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Solution

The third proportional to 100,565 and 149,107 is: 221,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565 : 149,107 = 149,107 : x
  2. Step 2: Convert to fraction form
    100,565/149,107 = 149,107/x
  3. Step 3: Cross multiply
    100,565x = 149,107 × 149,107
  4. Step 4: Simplify right side
    100,565x = 22,232,897,449
  5. Step 5: Solve for x
    x = 22,232,897,449/100,565
  6. Step 6: Final answer
    x = 221,079.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.