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Finding the Third Proportional to 80,010 and 123,916

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Solution

The third proportional to 80,010 and 123,916 is: 191,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,010 : 123,916 = 123,916 : x
  2. Step 2: Convert to fraction form
    80,010/123,916 = 123,916/x
  3. Step 3: Cross multiply
    80,010x = 123,916 × 123,916
  4. Step 4: Simplify right side
    80,010x = 15,355,175,056
  5. Step 5: Solve for x
    x = 15,355,175,056/80,010
  6. Step 6: Final answer
    x = 191,915.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.