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Finding the Third Proportional to 61,514 and 80,772

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Solution

The third proportional to 61,514 and 80,772 is: 106,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,514 : 80,772 = 80,772 : x
  2. Step 2: Convert to fraction form
    61,514/80,772 = 80,772/x
  3. Step 3: Cross multiply
    61,514x = 80,772 × 80,772
  4. Step 4: Simplify right side
    61,514x = 6,524,115,984
  5. Step 5: Solve for x
    x = 6,524,115,984/61,514
  6. Step 6: Final answer
    x = 106,059.04

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.