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Finding the Third Proportional to 49,349 and 107,122

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Solution

The third proportional to 49,349 and 107,122 is: 232,530.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,349 : 107,122 = 107,122 : x
  2. Step 2: Convert to fraction form
    49,349/107,122 = 107,122/x
  3. Step 3: Cross multiply
    49,349x = 107,122 × 107,122
  4. Step 4: Simplify right side
    49,349x = 11,475,122,884
  5. Step 5: Solve for x
    x = 11,475,122,884/49,349
  6. Step 6: Final answer
    x = 232,530.00

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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.