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Finding the Third Proportional to 84,065 and 125,755

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Solution

The third proportional to 84,065 and 125,755 is: 188,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,065 : 125,755 = 125,755 : x
  2. Step 2: Convert to fraction form
    84,065/125,755 = 125,755/x
  3. Step 3: Cross multiply
    84,065x = 125,755 × 125,755
  4. Step 4: Simplify right side
    84,065x = 15,814,320,025
  5. Step 5: Solve for x
    x = 15,814,320,025/84,065
  6. Step 6: Final answer
    x = 188,120.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.