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Finding the Third Proportional to 54,153 and 118,767

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Solution

The third proportional to 54,153 and 118,767 is: 260,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,153 : 118,767 = 118,767 : x
  2. Step 2: Convert to fraction form
    54,153/118,767 = 118,767/x
  3. Step 3: Cross multiply
    54,153x = 118,767 × 118,767
  4. Step 4: Simplify right side
    54,153x = 14,105,600,289
  5. Step 5: Solve for x
    x = 14,105,600,289/54,153
  6. Step 6: Final answer
    x = 260,476.80

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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.