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Finding the Third Proportional to 103,674 and 149,850

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Solution

The third proportional to 103,674 and 149,850 is: 216,592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,674 : 149,850 = 149,850 : x
  2. Step 2: Convert to fraction form
    103,674/149,850 = 149,850/x
  3. Step 3: Cross multiply
    103,674x = 149,850 × 149,850
  4. Step 4: Simplify right side
    103,674x = 22,455,022,500
  5. Step 5: Solve for x
    x = 22,455,022,500/103,674
  6. Step 6: Final answer
    x = 216,592.61

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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.