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Finding the Third Proportional to 61,502 and 125,884

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Solution

The third proportional to 61,502 and 125,884 is: 257,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,502 : 125,884 = 125,884 : x
  2. Step 2: Convert to fraction form
    61,502/125,884 = 125,884/x
  3. Step 3: Cross multiply
    61,502x = 125,884 × 125,884
  4. Step 4: Simplify right side
    61,502x = 15,846,781,456
  5. Step 5: Solve for x
    x = 15,846,781,456/61,502
  6. Step 6: Final answer
    x = 257,662.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.