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Finding the Third Proportional to 69,472.69 and 141,400.69

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Solution

The third proportional to 69,472.69 and 141,400.69 is: 287,798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,472.69 : 141,400.69 = 141,400.69 : x
  2. Step 2: Convert to fraction form
    69,472.69/141,400.69 = 141,400.69/x
  3. Step 3: Cross multiply
    69,472.69x = 141,400.69 × 141,400.69
  4. Step 4: Simplify right side
    69,472.69x = 19,994,154,425.47
  5. Step 5: Solve for x
    x = 19,994,154,425.47/69,472.69
  6. Step 6: Final answer
    x = 287,798.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.