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Finding the Third Proportional to 64,910 and 138,190

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Solution

The third proportional to 64,910 and 138,190 is: 294,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,910 : 138,190 = 138,190 : x
  2. Step 2: Convert to fraction form
    64,910/138,190 = 138,190/x
  3. Step 3: Cross multiply
    64,910x = 138,190 × 138,190
  4. Step 4: Simplify right side
    64,910x = 19,096,476,100
  5. Step 5: Solve for x
    x = 19,096,476,100/64,910
  6. Step 6: Final answer
    x = 294,199.29

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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.