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Finding the Third Proportional to 45,555 and 96,063

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Solution

The third proportional to 45,555 and 96,063 is: 202,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,555 : 96,063 = 96,063 : x
  2. Step 2: Convert to fraction form
    45,555/96,063 = 96,063/x
  3. Step 3: Cross multiply
    45,555x = 96,063 × 96,063
  4. Step 4: Simplify right side
    45,555x = 9,228,099,969
  5. Step 5: Solve for x
    x = 9,228,099,969/45,555
  6. Step 6: Final answer
    x = 202,570.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.