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Finding the Third Proportional to 101,082 and 147,939

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Solution

The third proportional to 101,082 and 147,939 is: 216,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,082 : 147,939 = 147,939 : x
  2. Step 2: Convert to fraction form
    101,082/147,939 = 147,939/x
  3. Step 3: Cross multiply
    101,082x = 147,939 × 147,939
  4. Step 4: Simplify right side
    101,082x = 21,885,947,721
  5. Step 5: Solve for x
    x = 21,885,947,721/101,082
  6. Step 6: Final answer
    x = 216,516.77

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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.