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Finding the Third Proportional to 70,856 and 96,280

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Solution

The third proportional to 70,856 and 96,280 is: 130,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,856 : 96,280 = 96,280 : x
  2. Step 2: Convert to fraction form
    70,856/96,280 = 96,280/x
  3. Step 3: Cross multiply
    70,856x = 96,280 × 96,280
  4. Step 4: Simplify right side
    70,856x = 9,269,838,400
  5. Step 5: Solve for x
    x = 9,269,838,400/70,856
  6. Step 6: Final answer
    x = 130,826.44

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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.