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Finding the Third Proportional to 25,097 and 54,529

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Solution

The third proportional to 25,097 and 54,529 is: 118,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097 : 54,529 = 54,529 : x
  2. Step 2: Convert to fraction form
    25,097/54,529 = 54,529/x
  3. Step 3: Cross multiply
    25,097x = 54,529 × 54,529
  4. Step 4: Simplify right side
    25,097x = 2,973,411,841
  5. Step 5: Solve for x
    x = 2,973,411,841/25,097
  6. Step 6: Final answer
    x = 118,476.78

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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.