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Finding the Third Proportional to 100,050 and 140,715

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Solution

The third proportional to 100,050 and 140,715 is: 197,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,050 : 140,715 = 140,715 : x
  2. Step 2: Convert to fraction form
    100,050/140,715 = 140,715/x
  3. Step 3: Cross multiply
    100,050x = 140,715 × 140,715
  4. Step 4: Simplify right side
    100,050x = 19,800,711,225
  5. Step 5: Solve for x
    x = 19,800,711,225/100,050
  6. Step 6: Final answer
    x = 197,908.16

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Why These Related Problems?

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