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Finding the Third Proportional to 135,061 and 293,014

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Solution

The third proportional to 135,061 and 293,014 is: 635,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,061 : 293,014 = 293,014 : x
  2. Step 2: Convert to fraction form
    135,061/293,014 = 293,014/x
  3. Step 3: Cross multiply
    135,061x = 293,014 × 293,014
  4. Step 4: Simplify right side
    135,061x = 85,857,204,196
  5. Step 5: Solve for x
    x = 85,857,204,196/135,061
  6. Step 6: Final answer
    x = 635,692.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.