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Finding the Third Proportional to 60,847 and 130,293

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Solution

The third proportional to 60,847 and 130,293 is: 278,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,847 : 130,293 = 130,293 : x
  2. Step 2: Convert to fraction form
    60,847/130,293 = 130,293/x
  3. Step 3: Cross multiply
    60,847x = 130,293 × 130,293
  4. Step 4: Simplify right side
    60,847x = 16,976,265,849
  5. Step 5: Solve for x
    x = 16,976,265,849/60,847
  6. Step 6: Final answer
    x = 278,999.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.