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Finding the Third Proportional to 54,714.25 and 117,602.06

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Solution

The third proportional to 54,714.25 and 117,602.06 is: 252,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,714.25 : 117,602.06 = 117,602.06 : x
  2. Step 2: Convert to fraction form
    54,714.25/117,602.06 = 117,602.06/x
  3. Step 3: Cross multiply
    54,714.25x = 117,602.06 × 117,602.06
  4. Step 4: Simplify right side
    54,714.25x = 13,830,245,104.25
  5. Step 5: Solve for x
    x = 13,830,245,104.25/54,714.25
  6. Step 6: Final answer
    x = 252,772.27

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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.