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Finding the Third Proportional to 55,643.06 and 117,907.31

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Solution

The third proportional to 55,643.06 and 117,907.31 is: 249,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,643.06 : 117,907.31 = 117,907.31 : x
  2. Step 2: Convert to fraction form
    55,643.06/117,907.31 = 117,907.31/x
  3. Step 3: Cross multiply
    55,643.06x = 117,907.31 × 117,907.31
  4. Step 4: Simplify right side
    55,643.06x = 13,902,134,340.97
  5. Step 5: Solve for x
    x = 13,902,134,340.97/55,643.06
  6. Step 6: Final answer
    x = 249,844.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.