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Finding the Third Proportional to 99,996 and 140,637

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Solution

The third proportional to 99,996 and 140,637 is: 197,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,996 : 140,637 = 140,637 : x
  2. Step 2: Convert to fraction form
    99,996/140,637 = 140,637/x
  3. Step 3: Cross multiply
    99,996x = 140,637 × 140,637
  4. Step 4: Simplify right side
    99,996x = 19,778,765,769
  5. Step 5: Solve for x
    x = 19,778,765,769/99,996
  6. Step 6: Final answer
    x = 197,795.57

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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.