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Finding the Third Proportional to 61,137 and 133,938

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Solution

The third proportional to 61,137 and 133,938 is: 293,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,137 : 133,938 = 133,938 : x
  2. Step 2: Convert to fraction form
    61,137/133,938 = 133,938/x
  3. Step 3: Cross multiply
    61,137x = 133,938 × 133,938
  4. Step 4: Simplify right side
    61,137x = 17,939,387,844
  5. Step 5: Solve for x
    x = 17,939,387,844/61,137
  6. Step 6: Final answer
    x = 293,429.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.