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Finding the Third Proportional to 54,696 and 129,044

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Solution

The third proportional to 54,696 and 129,044 is: 304,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,696 : 129,044 = 129,044 : x
  2. Step 2: Convert to fraction form
    54,696/129,044 = 129,044/x
  3. Step 3: Cross multiply
    54,696x = 129,044 × 129,044
  4. Step 4: Simplify right side
    54,696x = 16,652,353,936
  5. Step 5: Solve for x
    x = 16,652,353,936/54,696
  6. Step 6: Final answer
    x = 304,452.87

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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.