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Finding the Third Proportional to 70,762 and 109,797

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Solution

The third proportional to 70,762 and 109,797 is: 170,365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,762 : 109,797 = 109,797 : x
  2. Step 2: Convert to fraction form
    70,762/109,797 = 109,797/x
  3. Step 3: Cross multiply
    70,762x = 109,797 × 109,797
  4. Step 4: Simplify right side
    70,762x = 12,055,381,209
  5. Step 5: Solve for x
    x = 12,055,381,209/70,762
  6. Step 6: Final answer
    x = 170,365.18

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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.