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Finding the Third Proportional to 81,988 and 176,892

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Solution

The third proportional to 81,988 and 176,892 is: 381,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,988 : 176,892 = 176,892 : x
  2. Step 2: Convert to fraction form
    81,988/176,892 = 176,892/x
  3. Step 3: Cross multiply
    81,988x = 176,892 × 176,892
  4. Step 4: Simplify right side
    81,988x = 31,290,779,664
  5. Step 5: Solve for x
    x = 31,290,779,664/81,988
  6. Step 6: Final answer
    x = 381,650.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.