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Finding the Third Proportional to 54,154 and 118,771

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Solution

The third proportional to 54,154 and 118,771 is: 260,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,154 : 118,771 = 118,771 : x
  2. Step 2: Convert to fraction form
    54,154/118,771 = 118,771/x
  3. Step 3: Cross multiply
    54,154x = 118,771 × 118,771
  4. Step 4: Simplify right side
    54,154x = 14,106,550,441
  5. Step 5: Solve for x
    x = 14,106,550,441/54,154
  6. Step 6: Final answer
    x = 260,489.54

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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.