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Finding the Third Proportional to 73,855.13 and 161,077.50

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Solution

The third proportional to 73,855.13 and 161,077.50 is: 351,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,855.13 : 161,077.50 = 161,077.50 : x
  2. Step 2: Convert to fraction form
    73,855.13/161,077.50 = 161,077.50/x
  3. Step 3: Cross multiply
    73,855.13x = 161,077.50 × 161,077.50
  4. Step 4: Simplify right side
    73,855.13x = 25,945,961,006.25
  5. Step 5: Solve for x
    x = 25,945,961,006.25/73,855.13
  6. Step 6: Final answer
    x = 351,308.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.