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Finding the Third Proportional to 85,996 and 130,292

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Solution

The third proportional to 85,996 and 130,292 is: 197,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,996 : 130,292 = 130,292 : x
  2. Step 2: Convert to fraction form
    85,996/130,292 = 130,292/x
  3. Step 3: Cross multiply
    85,996x = 130,292 × 130,292
  4. Step 4: Simplify right side
    85,996x = 16,976,005,264
  5. Step 5: Solve for x
    x = 16,976,005,264/85,996
  6. Step 6: Final answer
    x = 197,404.59

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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.