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Finding the Third Proportional to 75,961.97 and 175,860.28

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Solution

The third proportional to 75,961.97 and 175,860.28 is: 407,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,961.97 : 175,860.28 = 175,860.28 : x
  2. Step 2: Convert to fraction form
    75,961.97/175,860.28 = 175,860.28/x
  3. Step 3: Cross multiply
    75,961.97x = 175,860.28 × 175,860.28
  4. Step 4: Simplify right side
    75,961.97x = 30,926,838,521.33
  5. Step 5: Solve for x
    x = 30,926,838,521.33/75,961.97
  6. Step 6: Final answer
    x = 407,135.82

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.