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Finding the Third Proportional to 50,071 and 109,376

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Solution

The third proportional to 50,071 and 109,376 is: 238,922.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,071 : 109,376 = 109,376 : x
  2. Step 2: Convert to fraction form
    50,071/109,376 = 109,376/x
  3. Step 3: Cross multiply
    50,071x = 109,376 × 109,376
  4. Step 4: Simplify right side
    50,071x = 11,963,109,376
  5. Step 5: Solve for x
    x = 11,963,109,376/50,071
  6. Step 6: Final answer
    x = 238,922.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.