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Finding the Third Proportional to 59,887.69 and 83,269.69

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Solution

The third proportional to 59,887.69 and 83,269.69 is: 115,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,887.69 : 83,269.69 = 83,269.69 : x
  2. Step 2: Convert to fraction form
    59,887.69/83,269.69 = 83,269.69/x
  3. Step 3: Cross multiply
    59,887.69x = 83,269.69 × 83,269.69
  4. Step 4: Simplify right side
    59,887.69x = 6,933,840,856.35
  5. Step 5: Solve for x
    x = 6,933,840,856.35/59,887.69
  6. Step 6: Final answer
    x = 115,780.74

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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.