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Finding the Third Proportional to 49,222 and 107,465

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Solution

The third proportional to 49,222 and 107,465 is: 234,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,222 : 107,465 = 107,465 : x
  2. Step 2: Convert to fraction form
    49,222/107,465 = 107,465/x
  3. Step 3: Cross multiply
    49,222x = 107,465 × 107,465
  4. Step 4: Simplify right side
    49,222x = 11,548,726,225
  5. Step 5: Solve for x
    x = 11,548,726,225/49,222
  6. Step 6: Final answer
    x = 234,625.29

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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.