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Finding the Third Proportional to 100,998 and 141,615

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Solution

The third proportional to 100,998 and 141,615 is: 198,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,998 : 141,615 = 141,615 : x
  2. Step 2: Convert to fraction form
    100,998/141,615 = 141,615/x
  3. Step 3: Cross multiply
    100,998x = 141,615 × 141,615
  4. Step 4: Simplify right side
    100,998x = 20,054,808,225
  5. Step 5: Solve for x
    x = 20,054,808,225/100,998
  6. Step 6: Final answer
    x = 198,566.39

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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.