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Finding the Third Proportional to 64,744 and 141,257

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Solution

The third proportional to 64,744 and 141,257 is: 308,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,744 : 141,257 = 141,257 : x
  2. Step 2: Convert to fraction form
    64,744/141,257 = 141,257/x
  3. Step 3: Cross multiply
    64,744x = 141,257 × 141,257
  4. Step 4: Simplify right side
    64,744x = 19,953,540,049
  5. Step 5: Solve for x
    x = 19,953,540,049/64,744
  6. Step 6: Final answer
    x = 308,191.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.