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Finding the Third Proportional to 60,731 and 133,418

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Solution

The third proportional to 60,731 and 133,418 is: 293,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,731 : 133,418 = 133,418 : x
  2. Step 2: Convert to fraction form
    60,731/133,418 = 133,418/x
  3. Step 3: Cross multiply
    60,731x = 133,418 × 133,418
  4. Step 4: Simplify right side
    60,731x = 17,800,362,724
  5. Step 5: Solve for x
    x = 17,800,362,724/60,731
  6. Step 6: Final answer
    x = 293,101.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.