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Finding the Third Proportional to 55,453 and 78,462.75

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Solution

The third proportional to 55,453 and 78,462.75 is: 111,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,453 : 78,462.75 = 78,462.75 : x
  2. Step 2: Convert to fraction form
    55,453/78,462.75 = 78,462.75/x
  3. Step 3: Cross multiply
    55,453x = 78,462.75 × 78,462.75
  4. Step 4: Simplify right side
    55,453x = 6,156,403,137.56
  5. Step 5: Solve for x
    x = 6,156,403,137.56/55,453
  6. Step 6: Final answer
    x = 111,020.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.