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Finding the Third Proportional to 69,022.13 and 103,533.19

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Solution

The third proportional to 69,022.13 and 103,533.19 is: 155,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,022.13 : 103,533.19 = 103,533.19 : x
  2. Step 2: Convert to fraction form
    69,022.13/103,533.19 = 103,533.19/x
  3. Step 3: Cross multiply
    69,022.13x = 103,533.19 × 103,533.19
  4. Step 4: Simplify right side
    69,022.13x = 10,719,120,913.91
  5. Step 5: Solve for x
    x = 10,719,120,913.91/69,022.13
  6. Step 6: Final answer
    x = 155,299.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.