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Finding the Third Proportional to 64,922 and 138,214

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Solution

The third proportional to 64,922 and 138,214 is: 294,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,922 : 138,214 = 138,214 : x
  2. Step 2: Convert to fraction form
    64,922/138,214 = 138,214/x
  3. Step 3: Cross multiply
    64,922x = 138,214 × 138,214
  4. Step 4: Simplify right side
    64,922x = 19,103,109,796
  5. Step 5: Solve for x
    x = 19,103,109,796/64,922
  6. Step 6: Final answer
    x = 294,247.09

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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.