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Finding the Third Proportional to 64,322 and 137,874

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Solution

The third proportional to 64,322 and 137,874 is: 295,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,322 : 137,874 = 137,874 : x
  2. Step 2: Convert to fraction form
    64,322/137,874 = 137,874/x
  3. Step 3: Cross multiply
    64,322x = 137,874 × 137,874
  4. Step 4: Simplify right side
    64,322x = 19,009,239,876
  5. Step 5: Solve for x
    x = 19,009,239,876/64,322
  6. Step 6: Final answer
    x = 295,532.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.