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Finding the Third Proportional to 83,684 and 117,048

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Solution

The third proportional to 83,684 and 117,048 is: 163,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,684 : 117,048 = 117,048 : x
  2. Step 2: Convert to fraction form
    83,684/117,048 = 117,048/x
  3. Step 3: Cross multiply
    83,684x = 117,048 × 117,048
  4. Step 4: Simplify right side
    83,684x = 13,700,234,304
  5. Step 5: Solve for x
    x = 13,700,234,304/83,684
  6. Step 6: Final answer
    x = 163,713.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.