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Finding the Third Proportional to 31,308 and 65,216

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Solution

The third proportional to 31,308 and 65,216 is: 135,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,308 : 65,216 = 65,216 : x
  2. Step 2: Convert to fraction form
    31,308/65,216 = 65,216/x
  3. Step 3: Cross multiply
    31,308x = 65,216 × 65,216
  4. Step 4: Simplify right side
    31,308x = 4,253,126,656
  5. Step 5: Solve for x
    x = 4,253,126,656/31,308
  6. Step 6: Final answer
    x = 135,847.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.