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Finding the Third Proportional to 87,026 and 130,214

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Solution

The third proportional to 87,026 and 130,214 is: 194,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,026 : 130,214 = 130,214 : x
  2. Step 2: Convert to fraction form
    87,026/130,214 = 130,214/x
  3. Step 3: Cross multiply
    87,026x = 130,214 × 130,214
  4. Step 4: Simplify right side
    87,026x = 16,955,685,796
  5. Step 5: Solve for x
    x = 16,955,685,796/87,026
  6. Step 6: Final answer
    x = 194,834.71

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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.