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Finding the Third Proportional to 49,971 and 107,354

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Solution

The third proportional to 49,971 and 107,354 is: 230,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,971 : 107,354 = 107,354 : x
  2. Step 2: Convert to fraction form
    49,971/107,354 = 107,354/x
  3. Step 3: Cross multiply
    49,971x = 107,354 × 107,354
  4. Step 4: Simplify right side
    49,971x = 11,524,881,316
  5. Step 5: Solve for x
    x = 11,524,881,316/49,971
  6. Step 6: Final answer
    x = 230,631.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.