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Finding the Third Proportional to 64,274 and 138,412

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Solution

The third proportional to 64,274 and 138,412 is: 298,065.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,274 : 138,412 = 138,412 : x
  2. Step 2: Convert to fraction form
    64,274/138,412 = 138,412/x
  3. Step 3: Cross multiply
    64,274x = 138,412 × 138,412
  4. Step 4: Simplify right side
    64,274x = 19,157,881,744
  5. Step 5: Solve for x
    x = 19,157,881,744/64,274
  6. Step 6: Final answer
    x = 298,065.81

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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.