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Finding the Third Proportional to 83,890 and 163,526

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Solution

The third proportional to 83,890 and 163,526 is: 318,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,890 : 163,526 = 163,526 : x
  2. Step 2: Convert to fraction form
    83,890/163,526 = 163,526/x
  3. Step 3: Cross multiply
    83,890x = 163,526 × 163,526
  4. Step 4: Simplify right side
    83,890x = 26,740,752,676
  5. Step 5: Solve for x
    x = 26,740,752,676/83,890
  6. Step 6: Final answer
    x = 318,759.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.