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Finding the Third Proportional to 100,872.50 and 141,371

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Solution

The third proportional to 100,872.50 and 141,371 is: 198,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,872.50 : 141,371 = 141,371 : x
  2. Step 2: Convert to fraction form
    100,872.50/141,371 = 141,371/x
  3. Step 3: Cross multiply
    100,872.50x = 141,371 × 141,371
  4. Step 4: Simplify right side
    100,872.50x = 19,985,759,641
  5. Step 5: Solve for x
    x = 19,985,759,641/100,872.50
  6. Step 6: Final answer
    x = 198,128.92

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