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Finding the Third Proportional to 60,198 and 93,647

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Solution

The third proportional to 60,198 and 93,647 is: 145,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,198 : 93,647 = 93,647 : x
  2. Step 2: Convert to fraction form
    60,198/93,647 = 93,647/x
  3. Step 3: Cross multiply
    60,198x = 93,647 × 93,647
  4. Step 4: Simplify right side
    60,198x = 8,769,760,609
  5. Step 5: Solve for x
    x = 8,769,760,609/60,198
  6. Step 6: Final answer
    x = 145,681.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.