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Finding the Third Proportional to 51,237 and 107,298

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Solution

The third proportional to 51,237 and 107,298 is: 224,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,237 : 107,298 = 107,298 : x
  2. Step 2: Convert to fraction form
    51,237/107,298 = 107,298/x
  3. Step 3: Cross multiply
    51,237x = 107,298 × 107,298
  4. Step 4: Simplify right side
    51,237x = 11,512,860,804
  5. Step 5: Solve for x
    x = 11,512,860,804/51,237
  6. Step 6: Final answer
    x = 224,698.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.