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Finding the Third Proportional to 54,918 and 118,994.06

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Solution

The third proportional to 54,918 and 118,994.06 is: 257,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,918 : 118,994.06 = 118,994.06 : x
  2. Step 2: Convert to fraction form
    54,918/118,994.06 = 118,994.06/x
  3. Step 3: Cross multiply
    54,918x = 118,994.06 × 118,994.06
  4. Step 4: Simplify right side
    54,918x = 14,159,586,910.25
  5. Step 5: Solve for x
    x = 14,159,586,910.25/54,918
  6. Step 6: Final answer
    x = 257,831.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.