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Finding the Third Proportional to 135,099 and 291,138

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Solution

The third proportional to 135,099 and 291,138 is: 627,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,099 : 291,138 = 291,138 : x
  2. Step 2: Convert to fraction form
    135,099/291,138 = 291,138/x
  3. Step 3: Cross multiply
    135,099x = 291,138 × 291,138
  4. Step 4: Simplify right side
    135,099x = 84,761,335,044
  5. Step 5: Solve for x
    x = 84,761,335,044/135,099
  6. Step 6: Final answer
    x = 627,401.65

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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.