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Finding the Third Proportional to 52,244 and 123,308

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Solution

The third proportional to 52,244 and 123,308 is: 291,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,244 : 123,308 = 123,308 : x
  2. Step 2: Convert to fraction form
    52,244/123,308 = 123,308/x
  3. Step 3: Cross multiply
    52,244x = 123,308 × 123,308
  4. Step 4: Simplify right side
    52,244x = 15,204,862,864
  5. Step 5: Solve for x
    x = 15,204,862,864/52,244
  6. Step 6: Final answer
    x = 291,035.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.