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Finding the Third Proportional to 64,069 and 100,216

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Solution

The third proportional to 64,069 and 100,216 is: 156,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,069 : 100,216 = 100,216 : x
  2. Step 2: Convert to fraction form
    64,069/100,216 = 100,216/x
  3. Step 3: Cross multiply
    64,069x = 100,216 × 100,216
  4. Step 4: Simplify right side
    64,069x = 10,043,246,656
  5. Step 5: Solve for x
    x = 10,043,246,656/64,069
  6. Step 6: Final answer
    x = 156,756.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.