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Finding the Third Proportional to 69,618 and 101,911

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Solution

The third proportional to 69,618 and 101,911 is: 149,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,618 : 101,911 = 101,911 : x
  2. Step 2: Convert to fraction form
    69,618/101,911 = 101,911/x
  3. Step 3: Cross multiply
    69,618x = 101,911 × 101,911
  4. Step 4: Simplify right side
    69,618x = 10,385,851,921
  5. Step 5: Solve for x
    x = 10,385,851,921/69,618
  6. Step 6: Final answer
    x = 149,183.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.