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Finding the Third Proportional to 61,186 and 82,563

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Solution

The third proportional to 61,186 and 82,563 is: 111,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,186 : 82,563 = 82,563 : x
  2. Step 2: Convert to fraction form
    61,186/82,563 = 82,563/x
  3. Step 3: Cross multiply
    61,186x = 82,563 × 82,563
  4. Step 4: Simplify right side
    61,186x = 6,816,648,969
  5. Step 5: Solve for x
    x = 6,816,648,969/61,186
  6. Step 6: Final answer
    x = 111,408.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.