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Finding the Third Proportional to 69,265.13 and 149,581.69

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Solution

The third proportional to 69,265.13 and 149,581.69 is: 323,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,265.13 : 149,581.69 = 149,581.69 : x
  2. Step 2: Convert to fraction form
    69,265.13/149,581.69 = 149,581.69/x
  3. Step 3: Cross multiply
    69,265.13x = 149,581.69 × 149,581.69
  4. Step 4: Simplify right side
    69,265.13x = 22,374,681,235.35
  5. Step 5: Solve for x
    x = 22,374,681,235.35/69,265.13
  6. Step 6: Final answer
    x = 323,029.54

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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.