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Finding the Third Proportional to 74,943.75 and 160,571

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Solution

The third proportional to 74,943.75 and 160,571 is: 344,031.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,943.75 : 160,571 = 160,571 : x
  2. Step 2: Convert to fraction form
    74,943.75/160,571 = 160,571/x
  3. Step 3: Cross multiply
    74,943.75x = 160,571 × 160,571
  4. Step 4: Simplify right side
    74,943.75x = 25,783,046,041
  5. Step 5: Solve for x
    x = 25,783,046,041/74,943.75
  6. Step 6: Final answer
    x = 344,031.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.