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Finding the Third Proportional to 61,188 and 82,344

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Solution

The third proportional to 61,188 and 82,344 is: 110,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,188 : 82,344 = 82,344 : x
  2. Step 2: Convert to fraction form
    61,188/82,344 = 82,344/x
  3. Step 3: Cross multiply
    61,188x = 82,344 × 82,344
  4. Step 4: Simplify right side
    61,188x = 6,780,534,336
  5. Step 5: Solve for x
    x = 6,780,534,336/61,188
  6. Step 6: Final answer
    x = 110,814.77

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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.