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Finding the Third Proportional to 61,208 and 127,913

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Solution

The third proportional to 61,208 and 127,913 is: 267,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,208 : 127,913 = 127,913 : x
  2. Step 2: Convert to fraction form
    61,208/127,913 = 127,913/x
  3. Step 3: Cross multiply
    61,208x = 127,913 × 127,913
  4. Step 4: Simplify right side
    61,208x = 16,361,735,569
  5. Step 5: Solve for x
    x = 16,361,735,569/61,208
  6. Step 6: Final answer
    x = 267,313.68

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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.