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Finding the Third Proportional to 50,459 and 109,206

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Solution

The third proportional to 50,459 and 109,206 is: 236,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,459 : 109,206 = 109,206 : x
  2. Step 2: Convert to fraction form
    50,459/109,206 = 109,206/x
  3. Step 3: Cross multiply
    50,459x = 109,206 × 109,206
  4. Step 4: Simplify right side
    50,459x = 11,925,950,436
  5. Step 5: Solve for x
    x = 11,925,950,436/50,459
  6. Step 6: Final answer
    x = 236,349.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.