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Finding the Third Proportional to 62,867 and 94,301

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Solution

The third proportional to 62,867 and 94,301 is: 141,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,867 : 94,301 = 94,301 : x
  2. Step 2: Convert to fraction form
    62,867/94,301 = 94,301/x
  3. Step 3: Cross multiply
    62,867x = 94,301 × 94,301
  4. Step 4: Simplify right side
    62,867x = 8,892,678,601
  5. Step 5: Solve for x
    x = 8,892,678,601/62,867
  6. Step 6: Final answer
    x = 141,452.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.