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Finding the Third Proportional to 100,000.50 and 140,643

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Solution

The third proportional to 100,000.50 and 140,643 is: 197,803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,000.50 : 140,643 = 140,643 : x
  2. Step 2: Convert to fraction form
    100,000.50/140,643 = 140,643/x
  3. Step 3: Cross multiply
    100,000.50x = 140,643 × 140,643
  4. Step 4: Simplify right side
    100,000.50x = 19,780,453,449
  5. Step 5: Solve for x
    x = 19,780,453,449/100,000.50
  6. Step 6: Final answer
    x = 197,803.55

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.