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Finding the Third Proportional to 61,188 and 125,669

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Solution

The third proportional to 61,188 and 125,669 is: 258,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,188 : 125,669 = 125,669 : x
  2. Step 2: Convert to fraction form
    61,188/125,669 = 125,669/x
  3. Step 3: Cross multiply
    61,188x = 125,669 × 125,669
  4. Step 4: Simplify right side
    61,188x = 15,792,697,561
  5. Step 5: Solve for x
    x = 15,792,697,561/61,188
  6. Step 6: Final answer
    x = 258,101.22

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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.