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Finding the Third Proportional to 70,076 and 108,799

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Solution

The third proportional to 70,076 and 108,799 is: 168,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,076 : 108,799 = 108,799 : x
  2. Step 2: Convert to fraction form
    70,076/108,799 = 108,799/x
  3. Step 3: Cross multiply
    70,076x = 108,799 × 108,799
  4. Step 4: Simplify right side
    70,076x = 11,837,222,401
  5. Step 5: Solve for x
    x = 11,837,222,401/70,076
  6. Step 6: Final answer
    x = 168,919.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.