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Finding the Third Proportional to 61,810 and 82,873

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Solution

The third proportional to 61,810 and 82,873 is: 111,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,810 : 82,873 = 82,873 : x
  2. Step 2: Convert to fraction form
    61,810/82,873 = 82,873/x
  3. Step 3: Cross multiply
    61,810x = 82,873 × 82,873
  4. Step 4: Simplify right side
    61,810x = 6,867,934,129
  5. Step 5: Solve for x
    x = 6,867,934,129/61,810
  6. Step 6: Final answer
    x = 111,113.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.