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Finding the Third Proportional to 57,791 and 124,888

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Solution

The third proportional to 57,791 and 124,888 is: 269,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,791 : 124,888 = 124,888 : x
  2. Step 2: Convert to fraction form
    57,791/124,888 = 124,888/x
  3. Step 3: Cross multiply
    57,791x = 124,888 × 124,888
  4. Step 4: Simplify right side
    57,791x = 15,597,012,544
  5. Step 5: Solve for x
    x = 15,597,012,544/57,791
  6. Step 6: Final answer
    x = 269,886.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.