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Finding the Third Proportional to 64,620 and 87,286

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Solution

The third proportional to 64,620 and 87,286 is: 117,902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,620 : 87,286 = 87,286 : x
  2. Step 2: Convert to fraction form
    64,620/87,286 = 87,286/x
  3. Step 3: Cross multiply
    64,620x = 87,286 × 87,286
  4. Step 4: Simplify right side
    64,620x = 7,618,845,796
  5. Step 5: Solve for x
    x = 7,618,845,796/64,620
  6. Step 6: Final answer
    x = 117,902.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.