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Finding the Third Proportional to 45,041 and 77,282

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Solution

The third proportional to 45,041 and 77,282 is: 132,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,041 : 77,282 = 77,282 : x
  2. Step 2: Convert to fraction form
    45,041/77,282 = 77,282/x
  3. Step 3: Cross multiply
    45,041x = 77,282 × 77,282
  4. Step 4: Simplify right side
    45,041x = 5,972,507,524
  5. Step 5: Solve for x
    x = 5,972,507,524/45,041
  6. Step 6: Final answer
    x = 132,601.57

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.