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Finding the Third Proportional to 54,998 and 118,684

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Solution

The third proportional to 54,998 and 118,684 is: 256,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,998 : 118,684 = 118,684 : x
  2. Step 2: Convert to fraction form
    54,998/118,684 = 118,684/x
  3. Step 3: Cross multiply
    54,998x = 118,684 × 118,684
  4. Step 4: Simplify right side
    54,998x = 14,085,891,856
  5. Step 5: Solve for x
    x = 14,085,891,856/54,998
  6. Step 6: Final answer
    x = 256,116.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.