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Finding the Third Proportional to 90,462.56 and 133,062.56

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Solution

The third proportional to 90,462.56 and 133,062.56 is: 195,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,462.56 : 133,062.56 = 133,062.56 : x
  2. Step 2: Convert to fraction form
    90,462.56/133,062.56 = 133,062.56/x
  3. Step 3: Cross multiply
    90,462.56x = 133,062.56 × 133,062.56
  4. Step 4: Simplify right side
    90,462.56x = 17,705,645,539.07
  5. Step 5: Solve for x
    x = 17,705,645,539.07/90,462.56
  6. Step 6: Final answer
    x = 195,723.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.