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Finding the Third Proportional to 52,738 and 81,435

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Solution

The third proportional to 52,738 and 81,435 is: 125,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,738 : 81,435 = 81,435 : x
  2. Step 2: Convert to fraction form
    52,738/81,435 = 81,435/x
  3. Step 3: Cross multiply
    52,738x = 81,435 × 81,435
  4. Step 4: Simplify right side
    52,738x = 6,631,659,225
  5. Step 5: Solve for x
    x = 6,631,659,225/52,738
  6. Step 6: Final answer
    x = 125,747.26

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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.