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Finding the Third Proportional to 100,871 and 141,367

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Solution

The third proportional to 100,871 and 141,367 is: 198,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,871 : 141,367 = 141,367 : x
  2. Step 2: Convert to fraction form
    100,871/141,367 = 141,367/x
  3. Step 3: Cross multiply
    100,871x = 141,367 × 141,367
  4. Step 4: Simplify right side
    100,871x = 19,984,628,689
  5. Step 5: Solve for x
    x = 19,984,628,689/100,871
  6. Step 6: Final answer
    x = 198,120.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.