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Finding the Third Proportional to 81,024 and 122,643

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Solution

The third proportional to 81,024 and 122,643 is: 185,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,024 : 122,643 = 122,643 : x
  2. Step 2: Convert to fraction form
    81,024/122,643 = 122,643/x
  3. Step 3: Cross multiply
    81,024x = 122,643 × 122,643
  4. Step 4: Simplify right side
    81,024x = 15,041,305,449
  5. Step 5: Solve for x
    x = 15,041,305,449/81,024
  6. Step 6: Final answer
    x = 185,640.12

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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.