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Finding the Third Proportional to 74,950.31 and 161,017.88

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Solution

The third proportional to 74,950.31 and 161,017.88 is: 345,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,950.31 : 161,017.88 = 161,017.88 : x
  2. Step 2: Convert to fraction form
    74,950.31/161,017.88 = 161,017.88/x
  3. Step 3: Cross multiply
    74,950.31x = 161,017.88 × 161,017.88
  4. Step 4: Simplify right side
    74,950.31x = 25,926,756,069.52
  5. Step 5: Solve for x
    x = 25,926,756,069.52/74,950.31
  6. Step 6: Final answer
    x = 345,919.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.