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Finding the Third Proportional to 45,963 and 72,223.88

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Solution

The third proportional to 45,963 and 72,223.88 is: 113,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,963 : 72,223.88 = 72,223.88 : x
  2. Step 2: Convert to fraction form
    45,963/72,223.88 = 72,223.88/x
  3. Step 3: Cross multiply
    45,963x = 72,223.88 × 72,223.88
  4. Step 4: Simplify right side
    45,963x = 5,216,288,120.02
  5. Step 5: Solve for x
    x = 5,216,288,120.02/45,963
  6. Step 6: Final answer
    x = 113,488.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.