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Finding the Third Proportional to 69,139.13 and 150,792.38

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Solution

The third proportional to 69,139.13 and 150,792.38 is: 328,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,139.13 : 150,792.38 = 150,792.38 : x
  2. Step 2: Convert to fraction form
    69,139.13/150,792.38 = 150,792.38/x
  3. Step 3: Cross multiply
    69,139.13x = 150,792.38 × 150,792.38
  4. Step 4: Simplify right side
    69,139.13x = 22,738,340,358.14
  5. Step 5: Solve for x
    x = 22,738,340,358.14/69,139.13
  6. Step 6: Final answer
    x = 328,878.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.