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Finding the Third Proportional to 109,517 and 237,623

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Solution

The third proportional to 109,517 and 237,623 is: 515,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,517 : 237,623 = 237,623 : x
  2. Step 2: Convert to fraction form
    109,517/237,623 = 237,623/x
  3. Step 3: Cross multiply
    109,517x = 237,623 × 237,623
  4. Step 4: Simplify right side
    109,517x = 56,464,690,129
  5. Step 5: Solve for x
    x = 56,464,690,129/109,517
  6. Step 6: Final answer
    x = 515,579.23

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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.