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Finding the Third Proportional to 50,598 and 110,307

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Solution

The third proportional to 50,598 and 110,307 is: 240,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,598 : 110,307 = 110,307 : x
  2. Step 2: Convert to fraction form
    50,598/110,307 = 110,307/x
  3. Step 3: Cross multiply
    50,598x = 110,307 × 110,307
  4. Step 4: Simplify right side
    50,598x = 12,167,634,249
  5. Step 5: Solve for x
    x = 12,167,634,249/50,598
  6. Step 6: Final answer
    x = 240,476.59

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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.