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Finding the Third Proportional to 103,676 and 149,853

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Solution

The third proportional to 103,676 and 149,853 is: 216,597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,676 : 149,853 = 149,853 : x
  2. Step 2: Convert to fraction form
    103,676/149,853 = 149,853/x
  3. Step 3: Cross multiply
    103,676x = 149,853 × 149,853
  4. Step 4: Simplify right side
    103,676x = 22,455,921,609
  5. Step 5: Solve for x
    x = 22,455,921,609/103,676
  6. Step 6: Final answer
    x = 216,597.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.