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Finding the Third Proportional to 54,656.75 and 119,533

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Solution

The third proportional to 54,656.75 and 119,533 is: 261,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,656.75 : 119,533 = 119,533 : x
  2. Step 2: Convert to fraction form
    54,656.75/119,533 = 119,533/x
  3. Step 3: Cross multiply
    54,656.75x = 119,533 × 119,533
  4. Step 4: Simplify right side
    54,656.75x = 14,288,138,089
  5. Step 5: Solve for x
    x = 14,288,138,089/54,656.75
  6. Step 6: Final answer
    x = 261,415.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.