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Finding the Third Proportional to 65,522 and 136,228

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Solution

The third proportional to 65,522 and 136,228 is: 283,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,522 : 136,228 = 136,228 : x
  2. Step 2: Convert to fraction form
    65,522/136,228 = 136,228/x
  3. Step 3: Cross multiply
    65,522x = 136,228 × 136,228
  4. Step 4: Simplify right side
    65,522x = 18,558,067,984
  5. Step 5: Solve for x
    x = 18,558,067,984/65,522
  6. Step 6: Final answer
    x = 283,234.15

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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.