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Finding the Third Proportional to 61,326 and 82,413

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Solution

The third proportional to 61,326 and 82,413 is: 110,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,326 : 82,413 = 82,413 : x
  2. Step 2: Convert to fraction form
    61,326/82,413 = 82,413/x
  3. Step 3: Cross multiply
    61,326x = 82,413 × 82,413
  4. Step 4: Simplify right side
    61,326x = 6,791,902,569
  5. Step 5: Solve for x
    x = 6,791,902,569/61,326
  6. Step 6: Final answer
    x = 110,750.78

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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.