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Finding the Third Proportional to 46,152 and 108,912

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Solution

The third proportional to 46,152 and 108,912 is: 257,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,152 : 108,912 = 108,912 : x
  2. Step 2: Convert to fraction form
    46,152/108,912 = 108,912/x
  3. Step 3: Cross multiply
    46,152x = 108,912 × 108,912
  4. Step 4: Simplify right side
    46,152x = 11,861,823,744
  5. Step 5: Solve for x
    x = 11,861,823,744/46,152
  6. Step 6: Final answer
    x = 257,016.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.