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Finding the Third Proportional to 103,694 and 160,122

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Solution

The third proportional to 103,694 and 160,122 is: 247,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,694 : 160,122 = 160,122 : x
  2. Step 2: Convert to fraction form
    103,694/160,122 = 160,122/x
  3. Step 3: Cross multiply
    103,694x = 160,122 × 160,122
  4. Step 4: Simplify right side
    103,694x = 25,639,054,884
  5. Step 5: Solve for x
    x = 25,639,054,884/103,694
  6. Step 6: Final answer
    x = 247,256.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.