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Finding the Third Proportional to 81,951 and 125,114

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Solution

The third proportional to 81,951 and 125,114 is: 191,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,951 : 125,114 = 125,114 : x
  2. Step 2: Convert to fraction form
    81,951/125,114 = 125,114/x
  3. Step 3: Cross multiply
    81,951x = 125,114 × 125,114
  4. Step 4: Simplify right side
    81,951x = 15,653,512,996
  5. Step 5: Solve for x
    x = 15,653,512,996/81,951
  6. Step 6: Final answer
    x = 191,010.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.