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Finding the Third Proportional to 46,876 and 101,119

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Solution

The third proportional to 46,876 and 101,119 is: 218,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,876 : 101,119 = 101,119 : x
  2. Step 2: Convert to fraction form
    46,876/101,119 = 101,119/x
  3. Step 3: Cross multiply
    46,876x = 101,119 × 101,119
  4. Step 4: Simplify right side
    46,876x = 10,225,052,161
  5. Step 5: Solve for x
    x = 10,225,052,161/46,876
  6. Step 6: Final answer
    x = 218,129.79

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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.