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Finding the Third Proportional to 61,015 and 125,003

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Solution

The third proportional to 61,015 and 125,003 is: 256,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,015 : 125,003 = 125,003 : x
  2. Step 2: Convert to fraction form
    61,015/125,003 = 125,003/x
  3. Step 3: Cross multiply
    61,015x = 125,003 × 125,003
  4. Step 4: Simplify right side
    61,015x = 15,625,750,009
  5. Step 5: Solve for x
    x = 15,625,750,009/61,015
  6. Step 6: Final answer
    x = 256,096.86

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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.