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Finding the Third Proportional to 60,391 and 131,171

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Solution

The third proportional to 60,391 and 131,171 is: 284,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,391 : 131,171 = 131,171 : x
  2. Step 2: Convert to fraction form
    60,391/131,171 = 131,171/x
  3. Step 3: Cross multiply
    60,391x = 131,171 × 131,171
  4. Step 4: Simplify right side
    60,391x = 17,205,831,241
  5. Step 5: Solve for x
    x = 17,205,831,241/60,391
  6. Step 6: Final answer
    x = 284,907.21

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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.