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Finding the Third Proportional to 62,914 and 136,324

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Solution

The third proportional to 62,914 and 136,324 is: 295,391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,914 : 136,324 = 136,324 : x
  2. Step 2: Convert to fraction form
    62,914/136,324 = 136,324/x
  3. Step 3: Cross multiply
    62,914x = 136,324 × 136,324
  4. Step 4: Simplify right side
    62,914x = 18,584,232,976
  5. Step 5: Solve for x
    x = 18,584,232,976/62,914
  6. Step 6: Final answer
    x = 295,391.06

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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.