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Finding the Third Proportional to 57,394 and 124,319

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Solution

The third proportional to 57,394 and 124,319 is: 269,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,394 : 124,319 = 124,319 : x
  2. Step 2: Convert to fraction form
    57,394/124,319 = 124,319/x
  3. Step 3: Cross multiply
    57,394x = 124,319 × 124,319
  4. Step 4: Simplify right side
    57,394x = 15,455,213,761
  5. Step 5: Solve for x
    x = 15,455,213,761/57,394
  6. Step 6: Final answer
    x = 269,282.74

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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.