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Finding the Third Proportional to 70,788 and 154,704

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Solution

The third proportional to 70,788 and 154,704 is: 338,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,788 : 154,704 = 154,704 : x
  2. Step 2: Convert to fraction form
    70,788/154,704 = 154,704/x
  3. Step 3: Cross multiply
    70,788x = 154,704 × 154,704
  4. Step 4: Simplify right side
    70,788x = 23,933,327,616
  5. Step 5: Solve for x
    x = 23,933,327,616/70,788
  6. Step 6: Final answer
    x = 338,098.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.