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Finding the Third Proportional to 32,126.81 and 69,616.69

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Solution

The third proportional to 32,126.81 and 69,616.69 is: 150,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,126.81 : 69,616.69 = 69,616.69 : x
  2. Step 2: Convert to fraction form
    32,126.81/69,616.69 = 69,616.69/x
  3. Step 3: Cross multiply
    32,126.81x = 69,616.69 × 69,616.69
  4. Step 4: Simplify right side
    32,126.81x = 4,846,483,178.47
  5. Step 5: Solve for x
    x = 4,846,483,178.47/32,126.81
  6. Step 6: Final answer
    x = 150,854.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.