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Finding the Third Proportional to 67,177.88 and 100,415.81

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Solution

The third proportional to 67,177.88 and 100,415.81 is: 150,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,177.88 : 100,415.81 = 100,415.81 : x
  2. Step 2: Convert to fraction form
    67,177.88/100,415.81 = 100,415.81/x
  3. Step 3: Cross multiply
    67,177.88x = 100,415.81 × 100,415.81
  4. Step 4: Simplify right side
    67,177.88x = 10,083,335,400.04
  5. Step 5: Solve for x
    x = 10,083,335,400.04/67,177.88
  6. Step 6: Final answer
    x = 150,099.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.