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Finding the Third Proportional to 85,997 and 130,293

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Solution

The third proportional to 85,997 and 130,293 is: 197,405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,997 : 130,293 = 130,293 : x
  2. Step 2: Convert to fraction form
    85,997/130,293 = 130,293/x
  3. Step 3: Cross multiply
    85,997x = 130,293 × 130,293
  4. Step 4: Simplify right side
    85,997x = 16,976,265,849
  5. Step 5: Solve for x
    x = 16,976,265,849/85,997
  6. Step 6: Final answer
    x = 197,405.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.