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Finding the Third Proportional to 32,286 and 68,419

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Solution

The third proportional to 32,286 and 68,419 is: 144,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286 : 68,419 = 68,419 : x
  2. Step 2: Convert to fraction form
    32,286/68,419 = 68,419/x
  3. Step 3: Cross multiply
    32,286x = 68,419 × 68,419
  4. Step 4: Simplify right side
    32,286x = 4,681,159,561
  5. Step 5: Solve for x
    x = 4,681,159,561/32,286
  6. Step 6: Final answer
    x = 144,990.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.