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Finding the Third Proportional to 86,011 and 130,314

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Solution

The third proportional to 86,011 and 130,314 is: 197,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,011 : 130,314 = 130,314 : x
  2. Step 2: Convert to fraction form
    86,011/130,314 = 130,314/x
  3. Step 3: Cross multiply
    86,011x = 130,314 × 130,314
  4. Step 4: Simplify right side
    86,011x = 16,981,738,596
  5. Step 5: Solve for x
    x = 16,981,738,596/86,011
  6. Step 6: Final answer
    x = 197,436.82

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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.