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Finding the Third Proportional to 54,737 and 117,914

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Solution

The third proportional to 54,737 and 117,914 is: 254,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,737 : 117,914 = 117,914 : x
  2. Step 2: Convert to fraction form
    54,737/117,914 = 117,914/x
  3. Step 3: Cross multiply
    54,737x = 117,914 × 117,914
  4. Step 4: Simplify right side
    54,737x = 13,903,711,396
  5. Step 5: Solve for x
    x = 13,903,711,396/54,737
  6. Step 6: Final answer
    x = 254,009.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.