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Finding the Third Proportional to 64,016 and 92,211

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Solution

The third proportional to 64,016 and 92,211 is: 132,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,016 : 92,211 = 92,211 : x
  2. Step 2: Convert to fraction form
    64,016/92,211 = 92,211/x
  3. Step 3: Cross multiply
    64,016x = 92,211 × 92,211
  4. Step 4: Simplify right side
    64,016x = 8,502,868,521
  5. Step 5: Solve for x
    x = 8,502,868,521/64,016
  6. Step 6: Final answer
    x = 132,824.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.