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Finding the Third Proportional to 131,493.38 and 186,062.06

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Solution

The third proportional to 131,493.38 and 186,062.06 is: 263,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,493.38 : 186,062.06 = 186,062.06 : x
  2. Step 2: Convert to fraction form
    131,493.38/186,062.06 = 186,062.06/x
  3. Step 3: Cross multiply
    131,493.38x = 186,062.06 × 186,062.06
  4. Step 4: Simplify right side
    131,493.38x = 34,619,091,101.75
  5. Step 5: Solve for x
    x = 34,619,091,101.75/131,493.38
  6. Step 6: Final answer
    x = 263,276.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.