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Finding the Third Proportional to 61,201 and 86,182

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Solution

The third proportional to 61,201 and 86,182 is: 121,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,201 : 86,182 = 86,182 : x
  2. Step 2: Convert to fraction form
    61,201/86,182 = 86,182/x
  3. Step 3: Cross multiply
    61,201x = 86,182 × 86,182
  4. Step 4: Simplify right side
    61,201x = 7,427,337,124
  5. Step 5: Solve for x
    x = 7,427,337,124/61,201
  6. Step 6: Final answer
    x = 121,359.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.