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Finding the Third Proportional to 101,494 and 154,634

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Solution

The third proportional to 101,494 and 154,634 is: 235,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,494 : 154,634 = 154,634 : x
  2. Step 2: Convert to fraction form
    101,494/154,634 = 154,634/x
  3. Step 3: Cross multiply
    101,494x = 154,634 × 154,634
  4. Step 4: Simplify right side
    101,494x = 23,911,673,956
  5. Step 5: Solve for x
    x = 23,911,673,956/101,494
  6. Step 6: Final answer
    x = 235,596.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.