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Finding the Third Proportional to 60,066 and 81,441

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Solution

The third proportional to 60,066 and 81,441 is: 110,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,066 : 81,441 = 81,441 : x
  2. Step 2: Convert to fraction form
    60,066/81,441 = 81,441/x
  3. Step 3: Cross multiply
    60,066x = 81,441 × 81,441
  4. Step 4: Simplify right side
    60,066x = 6,632,636,481
  5. Step 5: Solve for x
    x = 6,632,636,481/60,066
  6. Step 6: Final answer
    x = 110,422.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.