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Finding the Third Proportional to 135,971 and 293,561

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Solution

The third proportional to 135,971 and 293,561 is: 633,797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,971 : 293,561 = 293,561 : x
  2. Step 2: Convert to fraction form
    135,971/293,561 = 293,561/x
  3. Step 3: Cross multiply
    135,971x = 293,561 × 293,561
  4. Step 4: Simplify right side
    135,971x = 86,178,060,721
  5. Step 5: Solve for x
    x = 86,178,060,721/135,971
  6. Step 6: Final answer
    x = 633,797.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.