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Finding the Third Proportional to 52,872.75 and 81,263.25

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Solution

The third proportional to 52,872.75 and 81,263.25 is: 124,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,872.75 : 81,263.25 = 81,263.25 : x
  2. Step 2: Convert to fraction form
    52,872.75/81,263.25 = 81,263.25/x
  3. Step 3: Cross multiply
    52,872.75x = 81,263.25 × 81,263.25
  4. Step 4: Simplify right side
    52,872.75x = 6,603,715,800.56
  5. Step 5: Solve for x
    x = 6,603,715,800.56/52,872.75
  6. Step 6: Final answer
    x = 124,898.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.