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Finding the Third Proportional to 60,257 and 125,293

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Solution

The third proportional to 60,257 and 125,293 is: 260,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,257 : 125,293 = 125,293 : x
  2. Step 2: Convert to fraction form
    60,257/125,293 = 125,293/x
  3. Step 3: Cross multiply
    60,257x = 125,293 × 125,293
  4. Step 4: Simplify right side
    60,257x = 15,698,335,849
  5. Step 5: Solve for x
    x = 15,698,335,849/60,257
  6. Step 6: Final answer
    x = 260,523.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.