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Finding the Third Proportional to 64,924 and 138,218

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Solution

The third proportional to 64,924 and 138,218 is: 294,255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,924 : 138,218 = 138,218 : x
  2. Step 2: Convert to fraction form
    64,924/138,218 = 138,218/x
  3. Step 3: Cross multiply
    64,924x = 138,218 × 138,218
  4. Step 4: Simplify right side
    64,924x = 19,104,215,524
  5. Step 5: Solve for x
    x = 19,104,215,524/64,924
  6. Step 6: Final answer
    x = 294,255.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.