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Finding the Third Proportional to 73,998.56 and 162,758.53

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Solution

The third proportional to 73,998.56 and 162,758.53 is: 357,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,998.56 : 162,758.53 = 162,758.53 : x
  2. Step 2: Convert to fraction form
    73,998.56/162,758.53 = 162,758.53/x
  3. Step 3: Cross multiply
    73,998.56x = 162,758.53 × 162,758.53
  4. Step 4: Simplify right side
    73,998.56x = 26,490,339,494.66
  5. Step 5: Solve for x
    x = 26,490,339,494.66/73,998.56
  6. Step 6: Final answer
    x = 357,984.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.