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Finding the Third Proportional to 46,056 and 100,881

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Solution

The third proportional to 46,056 and 100,881 is: 220,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,056 : 100,881 = 100,881 : x
  2. Step 2: Convert to fraction form
    46,056/100,881 = 100,881/x
  3. Step 3: Cross multiply
    46,056x = 100,881 × 100,881
  4. Step 4: Simplify right side
    46,056x = 10,176,976,161
  5. Step 5: Solve for x
    x = 10,176,976,161/46,056
  6. Step 6: Final answer
    x = 220,969.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.