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Finding the Third Proportional to 54,023 and 117,793

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Solution

The third proportional to 54,023 and 117,793 is: 256,838.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,023 : 117,793 = 117,793 : x
  2. Step 2: Convert to fraction form
    54,023/117,793 = 117,793/x
  3. Step 3: Cross multiply
    54,023x = 117,793 × 117,793
  4. Step 4: Simplify right side
    54,023x = 13,875,190,849
  5. Step 5: Solve for x
    x = 13,875,190,849/54,023
  6. Step 6: Final answer
    x = 256,838.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.