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Finding the Third Proportional to 55,717 and 80,501.50

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Solution

The third proportional to 55,717 and 80,501.50 is: 116,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,717 : 80,501.50 = 80,501.50 : x
  2. Step 2: Convert to fraction form
    55,717/80,501.50 = 80,501.50/x
  3. Step 3: Cross multiply
    55,717x = 80,501.50 × 80,501.50
  4. Step 4: Simplify right side
    55,717x = 6,480,491,502.25
  5. Step 5: Solve for x
    x = 6,480,491,502.25/55,717
  6. Step 6: Final answer
    x = 116,310.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.