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Finding the Third Proportional to 52,086 and 80,776

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Solution

The third proportional to 52,086 and 80,776 is: 125,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,086 : 80,776 = 80,776 : x
  2. Step 2: Convert to fraction form
    52,086/80,776 = 80,776/x
  3. Step 3: Cross multiply
    52,086x = 80,776 × 80,776
  4. Step 4: Simplify right side
    52,086x = 6,524,762,176
  5. Step 5: Solve for x
    x = 6,524,762,176/52,086
  6. Step 6: Final answer
    x = 125,269.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.