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Finding the Third Proportional to 62,933.25 and 136,823.25

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Solution

The third proportional to 62,933.25 and 136,823.25 is: 297,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,933.25 : 136,823.25 = 136,823.25 : x
  2. Step 2: Convert to fraction form
    62,933.25/136,823.25 = 136,823.25/x
  3. Step 3: Cross multiply
    62,933.25x = 136,823.25 × 136,823.25
  4. Step 4: Simplify right side
    62,933.25x = 18,720,601,740.56
  5. Step 5: Solve for x
    x = 18,720,601,740.56/62,933.25
  6. Step 6: Final answer
    x = 297,467.58

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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.