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Finding the Third Proportional to 83,882 and 122,363

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Solution

The third proportional to 83,882 and 122,363 is: 178,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,882 : 122,363 = 122,363 : x
  2. Step 2: Convert to fraction form
    83,882/122,363 = 122,363/x
  3. Step 3: Cross multiply
    83,882x = 122,363 × 122,363
  4. Step 4: Simplify right side
    83,882x = 14,972,703,769
  5. Step 5: Solve for x
    x = 14,972,703,769/83,882
  6. Step 6: Final answer
    x = 178,497.22

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.