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Finding the Third Proportional to 75,441.38 and 162,739.13

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Solution

The third proportional to 75,441.38 and 162,739.13 is: 351,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,441.38 : 162,739.13 = 162,739.13 : x
  2. Step 2: Convert to fraction form
    75,441.38/162,739.13 = 162,739.13/x
  3. Step 3: Cross multiply
    75,441.38x = 162,739.13 × 162,739.13
  4. Step 4: Simplify right side
    75,441.38x = 26,484,022,805.77
  5. Step 5: Solve for x
    x = 26,484,022,805.77/75,441.38
  6. Step 6: Final answer
    x = 351,054.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.