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Finding the Third Proportional to 81,988 and 123,555

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Solution

The third proportional to 81,988 and 123,555 is: 186,196.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,988 : 123,555 = 123,555 : x
  2. Step 2: Convert to fraction form
    81,988/123,555 = 123,555/x
  3. Step 3: Cross multiply
    81,988x = 123,555 × 123,555
  4. Step 4: Simplify right side
    81,988x = 15,265,838,025
  5. Step 5: Solve for x
    x = 15,265,838,025/81,988
  6. Step 6: Final answer
    x = 186,196.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.