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Finding the Third Proportional to 83,901 and 163,551

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Solution

The third proportional to 83,901 and 163,551 is: 318,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,901 : 163,551 = 163,551 : x
  2. Step 2: Convert to fraction form
    83,901/163,551 = 163,551/x
  3. Step 3: Cross multiply
    83,901x = 163,551 × 163,551
  4. Step 4: Simplify right side
    83,901x = 26,748,929,601
  5. Step 5: Solve for x
    x = 26,748,929,601/83,901
  6. Step 6: Final answer
    x = 318,815.38

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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.