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Finding the Third Proportional to 107,900 and 163,350

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Solution

The third proportional to 107,900 and 163,350 is: 247,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,900 : 163,350 = 163,350 : x
  2. Step 2: Convert to fraction form
    107,900/163,350 = 163,350/x
  3. Step 3: Cross multiply
    107,900x = 163,350 × 163,350
  4. Step 4: Simplify right side
    107,900x = 26,683,222,500
  5. Step 5: Solve for x
    x = 26,683,222,500/107,900
  6. Step 6: Final answer
    x = 247,295.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.