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Finding the Third Proportional to 57,557 and 124,771

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Solution

The third proportional to 57,557 and 124,771 is: 270,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,557 : 124,771 = 124,771 : x
  2. Step 2: Convert to fraction form
    57,557/124,771 = 124,771/x
  3. Step 3: Cross multiply
    57,557x = 124,771 × 124,771
  4. Step 4: Simplify right side
    57,557x = 15,567,802,441
  5. Step 5: Solve for x
    x = 15,567,802,441/57,557
  6. Step 6: Final answer
    x = 270,476.27

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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.