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Finding the Third Proportional to 64,314 and 133,479

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Solution

The third proportional to 64,314 and 133,479 is: 277,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,314 : 133,479 = 133,479 : x
  2. Step 2: Convert to fraction form
    64,314/133,479 = 133,479/x
  3. Step 3: Cross multiply
    64,314x = 133,479 × 133,479
  4. Step 4: Simplify right side
    64,314x = 17,816,643,441
  5. Step 5: Solve for x
    x = 17,816,643,441/64,314
  6. Step 6: Final answer
    x = 277,025.90

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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.