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Finding the Third Proportional to 117,959.63 and 254,691

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Solution

The third proportional to 117,959.63 and 254,691 is: 549,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,959.63 : 254,691 = 254,691 : x
  2. Step 2: Convert to fraction form
    117,959.63/254,691 = 254,691/x
  3. Step 3: Cross multiply
    117,959.63x = 254,691 × 254,691
  4. Step 4: Simplify right side
    117,959.63x = 64,867,505,481
  5. Step 5: Solve for x
    x = 64,867,505,481/117,959.63
  6. Step 6: Final answer
    x = 549,912.78

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