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Finding the Third Proportional to 64,208 and 137,974

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Solution

The third proportional to 64,208 and 137,974 is: 296,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,208 : 137,974 = 137,974 : x
  2. Step 2: Convert to fraction form
    64,208/137,974 = 137,974/x
  3. Step 3: Cross multiply
    64,208x = 137,974 × 137,974
  4. Step 4: Simplify right side
    64,208x = 19,036,824,676
  5. Step 5: Solve for x
    x = 19,036,824,676/64,208
  6. Step 6: Final answer
    x = 296,486.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.