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Finding the Third Proportional to 57,020 and 124,876

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Solution

The third proportional to 57,020 and 124,876 is: 273,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,020 : 124,876 = 124,876 : x
  2. Step 2: Convert to fraction form
    57,020/124,876 = 124,876/x
  3. Step 3: Cross multiply
    57,020x = 124,876 × 124,876
  4. Step 4: Simplify right side
    57,020x = 15,594,015,376
  5. Step 5: Solve for x
    x = 15,594,015,376/57,020
  6. Step 6: Final answer
    x = 273,483.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.