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Finding the Third Proportional to 64,908 and 134,757

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Solution

The third proportional to 64,908 and 134,757 is: 279,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,908 : 134,757 = 134,757 : x
  2. Step 2: Convert to fraction form
    64,908/134,757 = 134,757/x
  3. Step 3: Cross multiply
    64,908x = 134,757 × 134,757
  4. Step 4: Simplify right side
    64,908x = 18,159,449,049
  5. Step 5: Solve for x
    x = 18,159,449,049/64,908
  6. Step 6: Final answer
    x = 279,772.12

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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.