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Finding the Third Proportional to 41,293.13 and 109,959.75

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Solution

The third proportional to 41,293.13 and 109,959.75 is: 292,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,293.13 : 109,959.75 = 109,959.75 : x
  2. Step 2: Convert to fraction form
    41,293.13/109,959.75 = 109,959.75/x
  3. Step 3: Cross multiply
    41,293.13x = 109,959.75 × 109,959.75
  4. Step 4: Simplify right side
    41,293.13x = 12,091,146,620.06
  5. Step 5: Solve for x
    x = 12,091,146,620.06/41,293.13
  6. Step 6: Final answer
    x = 292,812.58

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.