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Finding the Third Proportional to 83,915 and 163,567

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Solution

The third proportional to 83,915 and 163,567 is: 318,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,915 : 163,567 = 163,567 : x
  2. Step 2: Convert to fraction form
    83,915/163,567 = 163,567/x
  3. Step 3: Cross multiply
    83,915x = 163,567 × 163,567
  4. Step 4: Simplify right side
    83,915x = 26,754,163,489
  5. Step 5: Solve for x
    x = 26,754,163,489/83,915
  6. Step 6: Final answer
    x = 318,824.57

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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.