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Finding the Third Proportional to 78,992 and 104,376

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Solution

The third proportional to 78,992 and 104,376 is: 137,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,992 : 104,376 = 104,376 : x
  2. Step 2: Convert to fraction form
    78,992/104,376 = 104,376/x
  3. Step 3: Cross multiply
    78,992x = 104,376 × 104,376
  4. Step 4: Simplify right side
    78,992x = 10,894,349,376
  5. Step 5: Solve for x
    x = 10,894,349,376/78,992
  6. Step 6: Final answer
    x = 137,917.12

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.