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Finding the Third Proportional to 70,704 and 109,764

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Solution

The third proportional to 70,704 and 109,764 is: 170,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,704 : 109,764 = 109,764 : x
  2. Step 2: Convert to fraction form
    70,704/109,764 = 109,764/x
  3. Step 3: Cross multiply
    70,704x = 109,764 × 109,764
  4. Step 4: Simplify right side
    70,704x = 12,048,135,696
  5. Step 5: Solve for x
    x = 12,048,135,696/70,704
  6. Step 6: Final answer
    x = 170,402.46

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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.