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Finding the Third Proportional to 83,398.50 and 122,892

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Solution

The third proportional to 83,398.50 and 122,892 is: 181,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,398.50 : 122,892 = 122,892 : x
  2. Step 2: Convert to fraction form
    83,398.50/122,892 = 122,892/x
  3. Step 3: Cross multiply
    83,398.50x = 122,892 × 122,892
  4. Step 4: Simplify right side
    83,398.50x = 15,102,443,664
  5. Step 5: Solve for x
    x = 15,102,443,664/83,398.50
  6. Step 6: Final answer
    x = 181,087.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.