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Finding the Third Proportional to 62,316 and 135,149

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Solution

The third proportional to 62,316 and 135,149 is: 293,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,316 : 135,149 = 135,149 : x
  2. Step 2: Convert to fraction form
    62,316/135,149 = 135,149/x
  3. Step 3: Cross multiply
    62,316x = 135,149 × 135,149
  4. Step 4: Simplify right side
    62,316x = 18,265,252,201
  5. Step 5: Solve for x
    x = 18,265,252,201/62,316
  6. Step 6: Final answer
    x = 293,106.94

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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.