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Finding the Third Proportional to 57,920 and 125,804

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Solution

The third proportional to 57,920 and 125,804 is: 273,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,920 : 125,804 = 125,804 : x
  2. Step 2: Convert to fraction form
    57,920/125,804 = 125,804/x
  3. Step 3: Cross multiply
    57,920x = 125,804 × 125,804
  4. Step 4: Simplify right side
    57,920x = 15,826,646,416
  5. Step 5: Solve for x
    x = 15,826,646,416/57,920
  6. Step 6: Final answer
    x = 273,250.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.