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Finding the Third Proportional to 101,768 and 155,682

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Solution

The third proportional to 101,768 and 155,682 is: 238,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,768 : 155,682 = 155,682 : x
  2. Step 2: Convert to fraction form
    101,768/155,682 = 155,682/x
  3. Step 3: Cross multiply
    101,768x = 155,682 × 155,682
  4. Step 4: Simplify right side
    101,768x = 24,236,885,124
  5. Step 5: Solve for x
    x = 24,236,885,124/101,768
  6. Step 6: Final answer
    x = 238,158.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.