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Finding the Third Proportional to 70,595 and 109,353

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Solution

The third proportional to 70,595 and 109,353 is: 169,389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,595 : 109,353 = 109,353 : x
  2. Step 2: Convert to fraction form
    70,595/109,353 = 109,353/x
  3. Step 3: Cross multiply
    70,595x = 109,353 × 109,353
  4. Step 4: Simplify right side
    70,595x = 11,958,078,609
  5. Step 5: Solve for x
    x = 11,958,078,609/70,595
  6. Step 6: Final answer
    x = 169,389.88

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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.