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Finding the Third Proportional to 70,884 and 96,311

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Solution

The third proportional to 70,884 and 96,311 is: 130,858.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,884 : 96,311 = 96,311 : x
  2. Step 2: Convert to fraction form
    70,884/96,311 = 96,311/x
  3. Step 3: Cross multiply
    70,884x = 96,311 × 96,311
  4. Step 4: Simplify right side
    70,884x = 9,275,808,721
  5. Step 5: Solve for x
    x = 9,275,808,721/70,884
  6. Step 6: Final answer
    x = 130,858.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.