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Finding the Third Proportional to 54,617 and 117,630

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Solution

The third proportional to 54,617 and 117,630 is: 253,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,617 : 117,630 = 117,630 : x
  2. Step 2: Convert to fraction form
    54,617/117,630 = 117,630/x
  3. Step 3: Cross multiply
    54,617x = 117,630 × 117,630
  4. Step 4: Simplify right side
    54,617x = 13,836,816,900
  5. Step 5: Solve for x
    x = 13,836,816,900/54,617
  6. Step 6: Final answer
    x = 253,342.68

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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.