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Finding the Third Proportional to 103,742 and 160,217

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Solution

The third proportional to 103,742 and 160,217 is: 247,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,742 : 160,217 = 160,217 : x
  2. Step 2: Convert to fraction form
    103,742/160,217 = 160,217/x
  3. Step 3: Cross multiply
    103,742x = 160,217 × 160,217
  4. Step 4: Simplify right side
    103,742x = 25,669,487,089
  5. Step 5: Solve for x
    x = 25,669,487,089/103,742
  6. Step 6: Final answer
    x = 247,435.82

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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.