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Finding the Third Proportional to 81,024 and 122,656

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Solution

The third proportional to 81,024 and 122,656 is: 185,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,024 : 122,656 = 122,656 : x
  2. Step 2: Convert to fraction form
    81,024/122,656 = 122,656/x
  3. Step 3: Cross multiply
    81,024x = 122,656 × 122,656
  4. Step 4: Simplify right side
    81,024x = 15,044,494,336
  5. Step 5: Solve for x
    x = 15,044,494,336/81,024
  6. Step 6: Final answer
    x = 185,679.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.