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Finding the Third Proportional to 100,591 and 140,968

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Solution

The third proportional to 100,591 and 140,968 is: 197,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,591 : 140,968 = 140,968 : x
  2. Step 2: Convert to fraction form
    100,591/140,968 = 140,968/x
  3. Step 3: Cross multiply
    100,591x = 140,968 × 140,968
  4. Step 4: Simplify right side
    100,591x = 19,871,977,024
  5. Step 5: Solve for x
    x = 19,871,977,024/100,591
  6. Step 6: Final answer
    x = 197,552.24

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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.