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Finding the Third Proportional to 103,691 and 146,847

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Solution

The third proportional to 103,691 and 146,847 is: 207,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,691 : 146,847 = 146,847 : x
  2. Step 2: Convert to fraction form
    103,691/146,847 = 146,847/x
  3. Step 3: Cross multiply
    103,691x = 146,847 × 146,847
  4. Step 4: Simplify right side
    103,691x = 21,564,041,409
  5. Step 5: Solve for x
    x = 21,564,041,409/103,691
  6. Step 6: Final answer
    x = 207,964.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.