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Finding the Third Proportional to 62,126 and 82,772

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Solution

The third proportional to 62,126 and 82,772 is: 110,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,126 : 82,772 = 82,772 : x
  2. Step 2: Convert to fraction form
    62,126/82,772 = 82,772/x
  3. Step 3: Cross multiply
    62,126x = 82,772 × 82,772
  4. Step 4: Simplify right side
    62,126x = 6,851,203,984
  5. Step 5: Solve for x
    x = 6,851,203,984/62,126
  6. Step 6: Final answer
    x = 110,279.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.