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Finding the Third Proportional to 64,278 and 138,426

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Solution

The third proportional to 64,278 and 138,426 is: 298,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,278 : 138,426 = 138,426 : x
  2. Step 2: Convert to fraction form
    64,278/138,426 = 138,426/x
  3. Step 3: Cross multiply
    64,278x = 138,426 × 138,426
  4. Step 4: Simplify right side
    64,278x = 19,161,757,476
  5. Step 5: Solve for x
    x = 19,161,757,476/64,278
  6. Step 6: Final answer
    x = 298,107.56

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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.