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Finding the Third Proportional to 86,325.75 and 131,292

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Solution

The third proportional to 86,325.75 and 131,292 is: 199,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,325.75 : 131,292 = 131,292 : x
  2. Step 2: Convert to fraction form
    86,325.75/131,292 = 131,292/x
  3. Step 3: Cross multiply
    86,325.75x = 131,292 × 131,292
  4. Step 4: Simplify right side
    86,325.75x = 17,237,589,264
  5. Step 5: Solve for x
    x = 17,237,589,264/86,325.75
  6. Step 6: Final answer
    x = 199,680.74

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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.