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Finding the Third Proportional to 75,797.44 and 126,318.66

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Solution

The third proportional to 75,797.44 and 126,318.66 is: 210,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,797.44 : 126,318.66 = 126,318.66 : x
  2. Step 2: Convert to fraction form
    75,797.44/126,318.66 = 126,318.66/x
  3. Step 3: Cross multiply
    75,797.44x = 126,318.66 × 126,318.66
  4. Step 4: Simplify right side
    75,797.44x = 15,956,402,916.81
  5. Step 5: Solve for x
    x = 15,956,402,916.81/75,797.44
  6. Step 6: Final answer
    x = 210,513.75

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.