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Finding the Third Proportional to 56,269.69 and 82,437.75

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Solution

The third proportional to 56,269.69 and 82,437.75 is: 120,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,269.69 : 82,437.75 = 82,437.75 : x
  2. Step 2: Convert to fraction form
    56,269.69/82,437.75 = 82,437.75/x
  3. Step 3: Cross multiply
    56,269.69x = 82,437.75 × 82,437.75
  4. Step 4: Simplify right side
    56,269.69x = 6,795,982,625.06
  5. Step 5: Solve for x
    x = 6,795,982,625.06/56,269.69
  6. Step 6: Final answer
    x = 120,775.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.