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Finding the Third Proportional to 81,374.25 and 123,208.88

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Solution

The third proportional to 81,374.25 and 123,208.88 is: 186,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,374.25 : 123,208.88 = 123,208.88 : x
  2. Step 2: Convert to fraction form
    81,374.25/123,208.88 = 123,208.88/x
  3. Step 3: Cross multiply
    81,374.25x = 123,208.88 × 123,208.88
  4. Step 4: Simplify right side
    81,374.25x = 15,180,426,878.77
  5. Step 5: Solve for x
    x = 15,180,426,878.77/81,374.25
  6. Step 6: Final answer
    x = 186,550.74

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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.