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Finding the Third Proportional to 69,292.69 and 96,542.16

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Solution

The third proportional to 69,292.69 and 96,542.16 is: 134,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,292.69 : 96,542.16 = 96,542.16 : x
  2. Step 2: Convert to fraction form
    69,292.69/96,542.16 = 96,542.16/x
  3. Step 3: Cross multiply
    69,292.69x = 96,542.16 × 96,542.16
  4. Step 4: Simplify right side
    69,292.69x = 9,320,387,933.40
  5. Step 5: Solve for x
    x = 9,320,387,933.40/69,292.69
  6. Step 6: Final answer
    x = 134,507.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.