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Finding the Third Proportional to 53,964.98 and 84,469.08

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Solution

The third proportional to 53,964.98 and 84,469.08 is: 132,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,964.98 : 84,469.08 = 84,469.08 : x
  2. Step 2: Convert to fraction form
    53,964.98/84,469.08 = 84,469.08/x
  3. Step 3: Cross multiply
    53,964.98x = 84,469.08 × 84,469.08
  4. Step 4: Simplify right side
    53,964.98x = 7,135,025,159.29
  5. Step 5: Solve for x
    x = 7,135,025,159.29/53,964.98
  6. Step 6: Final answer
    x = 132,215.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.