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Finding the Third Proportional to 101,236 and 154,920

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Solution

The third proportional to 101,236 and 154,920 is: 237,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,236 : 154,920 = 154,920 : x
  2. Step 2: Convert to fraction form
    101,236/154,920 = 154,920/x
  3. Step 3: Cross multiply
    101,236x = 154,920 × 154,920
  4. Step 4: Simplify right side
    101,236x = 24,000,206,400
  5. Step 5: Solve for x
    x = 24,000,206,400/101,236
  6. Step 6: Final answer
    x = 237,071.86

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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.