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Finding the Third Proportional to 84,755.63 and 131,319.38

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Solution

The third proportional to 84,755.63 and 131,319.38 is: 203,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,755.63 : 131,319.38 = 131,319.38 : x
  2. Step 2: Convert to fraction form
    84,755.63/131,319.38 = 131,319.38/x
  3. Step 3: Cross multiply
    84,755.63x = 131,319.38 × 131,319.38
  4. Step 4: Simplify right side
    84,755.63x = 17,244,778,250.39
  5. Step 5: Solve for x
    x = 17,244,778,250.39/84,755.63
  6. Step 6: Final answer
    x = 203,464.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.