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Finding the Third Proportional to 76,453.13 and 162,747.38

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Solution

The third proportional to 76,453.13 and 162,747.38 is: 346,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,453.13 : 162,747.38 = 162,747.38 : x
  2. Step 2: Convert to fraction form
    76,453.13/162,747.38 = 162,747.38/x
  3. Step 3: Cross multiply
    76,453.13x = 162,747.38 × 162,747.38
  4. Step 4: Simplify right side
    76,453.13x = 26,486,708,069.39
  5. Step 5: Solve for x
    x = 26,486,708,069.39/76,453.13
  6. Step 6: Final answer
    x = 346,443.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.