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Finding the Third Proportional to 57,330 and 121,622

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Solution

The third proportional to 57,330 and 121,622 is: 258,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,330 : 121,622 = 121,622 : x
  2. Step 2: Convert to fraction form
    57,330/121,622 = 121,622/x
  3. Step 3: Cross multiply
    57,330x = 121,622 × 121,622
  4. Step 4: Simplify right side
    57,330x = 14,791,910,884
  5. Step 5: Solve for x
    x = 14,791,910,884/57,330
  6. Step 6: Final answer
    x = 258,013.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.