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Finding the Third Proportional to 50,454 and 108,152

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Solution

The third proportional to 50,454 and 108,152 is: 231,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,454 : 108,152 = 108,152 : x
  2. Step 2: Convert to fraction form
    50,454/108,152 = 108,152/x
  3. Step 3: Cross multiply
    50,454x = 108,152 × 108,152
  4. Step 4: Simplify right side
    50,454x = 11,696,855,104
  5. Step 5: Solve for x
    x = 11,696,855,104/50,454
  6. Step 6: Final answer
    x = 231,832.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.