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Finding the Third Proportional to 46,898 and 101,126

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Solution

The third proportional to 46,898 and 101,126 is: 218,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,898 : 101,126 = 101,126 : x
  2. Step 2: Convert to fraction form
    46,898/101,126 = 101,126/x
  3. Step 3: Cross multiply
    46,898x = 101,126 × 101,126
  4. Step 4: Simplify right side
    46,898x = 10,226,467,876
  5. Step 5: Solve for x
    x = 10,226,467,876/46,898
  6. Step 6: Final answer
    x = 218,057.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.