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Finding the Third Proportional to 57,396 and 124,323

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Solution

The third proportional to 57,396 and 124,323 is: 269,290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,396 : 124,323 = 124,323 : x
  2. Step 2: Convert to fraction form
    57,396/124,323 = 124,323/x
  3. Step 3: Cross multiply
    57,396x = 124,323 × 124,323
  4. Step 4: Simplify right side
    57,396x = 15,456,208,329
  5. Step 5: Solve for x
    x = 15,456,208,329/57,396
  6. Step 6: Final answer
    x = 269,290.69

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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.