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Finding the Third Proportional to 69,877.69 and 93,934.69

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Solution

The third proportional to 69,877.69 and 93,934.69 is: 126,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,877.69 : 93,934.69 = 93,934.69 : x
  2. Step 2: Convert to fraction form
    69,877.69/93,934.69 = 93,934.69/x
  3. Step 3: Cross multiply
    69,877.69x = 93,934.69 × 93,934.69
  4. Step 4: Simplify right side
    69,877.69x = 8,823,725,515.72
  5. Step 5: Solve for x
    x = 8,823,725,515.72/69,877.69
  6. Step 6: Final answer
    x = 126,273.86

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.