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Finding the Third Proportional to 64,694 and 137,164

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Solution

The third proportional to 64,694 and 137,164 is: 290,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,694 : 137,164 = 137,164 : x
  2. Step 2: Convert to fraction form
    64,694/137,164 = 137,164/x
  3. Step 3: Cross multiply
    64,694x = 137,164 × 137,164
  4. Step 4: Simplify right side
    64,694x = 18,813,962,896
  5. Step 5: Solve for x
    x = 18,813,962,896/64,694
  6. Step 6: Final answer
    x = 290,814.65

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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.