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Finding the Third Proportional to 83,663 and 163,122

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Solution

The third proportional to 83,663 and 163,122 is: 318,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,663 : 163,122 = 163,122 : x
  2. Step 2: Convert to fraction form
    83,663/163,122 = 163,122/x
  3. Step 3: Cross multiply
    83,663x = 163,122 × 163,122
  4. Step 4: Simplify right side
    83,663x = 26,608,786,884
  5. Step 5: Solve for x
    x = 26,608,786,884/83,663
  6. Step 6: Final answer
    x = 318,047.25

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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.