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Finding the Third Proportional to 70,995.19 and 151,462.31

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Solution

The third proportional to 70,995.19 and 151,462.31 is: 323,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,995.19 : 151,462.31 = 151,462.31 : x
  2. Step 2: Convert to fraction form
    70,995.19/151,462.31 = 151,462.31/x
  3. Step 3: Cross multiply
    70,995.19x = 151,462.31 × 151,462.31
  4. Step 4: Simplify right side
    70,995.19x = 22,940,832,107.85
  5. Step 5: Solve for x
    x = 22,940,832,107.85/70,995.19
  6. Step 6: Final answer
    x = 323,132.21

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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.