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Finding the Third Proportional to 62,757 and 87,778.50

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Solution

The third proportional to 62,757 and 87,778.50 is: 122,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,757 : 87,778.50 = 87,778.50 : x
  2. Step 2: Convert to fraction form
    62,757/87,778.50 = 87,778.50/x
  3. Step 3: Cross multiply
    62,757x = 87,778.50 × 87,778.50
  4. Step 4: Simplify right side
    62,757x = 7,705,065,062.25
  5. Step 5: Solve for x
    x = 7,705,065,062.25/62,757
  6. Step 6: Final answer
    x = 122,776.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.