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Finding the Third Proportional to 62,317 and 135,912

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Solution

The third proportional to 62,317 and 135,912 is: 296,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,317 : 135,912 = 135,912 : x
  2. Step 2: Convert to fraction form
    62,317/135,912 = 135,912/x
  3. Step 3: Cross multiply
    62,317x = 135,912 × 135,912
  4. Step 4: Simplify right side
    62,317x = 18,472,071,744
  5. Step 5: Solve for x
    x = 18,472,071,744/62,317
  6. Step 6: Final answer
    x = 296,421.07

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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.