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Finding the Third Proportional to 50,473 and 109,307

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Solution

The third proportional to 50,473 and 109,307 is: 236,721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,473 : 109,307 = 109,307 : x
  2. Step 2: Convert to fraction form
    50,473/109,307 = 109,307/x
  3. Step 3: Cross multiply
    50,473x = 109,307 × 109,307
  4. Step 4: Simplify right side
    50,473x = 11,948,020,249
  5. Step 5: Solve for x
    x = 11,948,020,249/50,473
  6. Step 6: Final answer
    x = 236,721.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.