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Finding the Third Proportional to 112,068 and 239,108

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Solution

The third proportional to 112,068 and 239,108 is: 510,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,068 : 239,108 = 239,108 : x
  2. Step 2: Convert to fraction form
    112,068/239,108 = 239,108/x
  3. Step 3: Cross multiply
    112,068x = 239,108 × 239,108
  4. Step 4: Simplify right side
    112,068x = 57,172,635,664
  5. Step 5: Solve for x
    x = 57,172,635,664/112,068
  6. Step 6: Final answer
    x = 510,160.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.