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Finding the Third Proportional to 70,441 and 109,241

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Solution

The third proportional to 70,441 and 109,241 is: 169,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,441 : 109,241 = 109,241 : x
  2. Step 2: Convert to fraction form
    70,441/109,241 = 109,241/x
  3. Step 3: Cross multiply
    70,441x = 109,241 × 109,241
  4. Step 4: Simplify right side
    70,441x = 11,933,596,081
  5. Step 5: Solve for x
    x = 11,933,596,081/70,441
  6. Step 6: Final answer
    x = 169,412.64

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Why These Related Problems?

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