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Finding the Third Proportional to 43,552.69 and 77,572.69

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Solution

The third proportional to 43,552.69 and 77,572.69 is: 138,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,552.69 : 77,572.69 = 77,572.69 : x
  2. Step 2: Convert to fraction form
    43,552.69/77,572.69 = 77,572.69/x
  3. Step 3: Cross multiply
    43,552.69x = 77,572.69 × 77,572.69
  4. Step 4: Simplify right side
    43,552.69x = 6,017,521,845.97
  5. Step 5: Solve for x
    x = 6,017,521,845.97/43,552.69
  6. Step 6: Final answer
    x = 138,166.49

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.