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Finding the Third Proportional to 86,323 and 131,288

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Solution

The third proportional to 86,323 and 131,288 is: 199,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,323 : 131,288 = 131,288 : x
  2. Step 2: Convert to fraction form
    86,323/131,288 = 131,288/x
  3. Step 3: Cross multiply
    86,323x = 131,288 × 131,288
  4. Step 4: Simplify right side
    86,323x = 17,236,538,944
  5. Step 5: Solve for x
    x = 17,236,538,944/86,323
  6. Step 6: Final answer
    x = 199,674.93

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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.