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Finding the Third Proportional to 87,096 and 130,312

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Solution

The third proportional to 87,096 and 130,312 is: 194,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,096 : 130,312 = 130,312 : x
  2. Step 2: Convert to fraction form
    87,096/130,312 = 130,312/x
  3. Step 3: Cross multiply
    87,096x = 130,312 × 130,312
  4. Step 4: Simplify right side
    87,096x = 16,981,217,344
  5. Step 5: Solve for x
    x = 16,981,217,344/87,096
  6. Step 6: Final answer
    x = 194,971.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.