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Finding the Third Proportional to 67,746.38 and 100,637.25

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Solution

The third proportional to 67,746.38 and 100,637.25 is: 149,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,746.38 : 100,637.25 = 100,637.25 : x
  2. Step 2: Convert to fraction form
    67,746.38/100,637.25 = 100,637.25/x
  3. Step 3: Cross multiply
    67,746.38x = 100,637.25 × 100,637.25
  4. Step 4: Simplify right side
    67,746.38x = 10,127,856,087.56
  5. Step 5: Solve for x
    x = 10,127,856,087.56/67,746.38
  6. Step 6: Final answer
    x = 149,496.65

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