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Finding the Third Proportional to 45,034 and 104,246

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Solution

The third proportional to 45,034 and 104,246 is: 241,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,034 : 104,246 = 104,246 : x
  2. Step 2: Convert to fraction form
    45,034/104,246 = 104,246/x
  3. Step 3: Cross multiply
    45,034x = 104,246 × 104,246
  4. Step 4: Simplify right side
    45,034x = 10,867,228,516
  5. Step 5: Solve for x
    x = 10,867,228,516/45,034
  6. Step 6: Final answer
    x = 241,311.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.