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Finding the Third Proportional to 36,246 and 73,511.25

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Solution

The third proportional to 36,246 and 73,511.25 is: 149,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,246 : 73,511.25 = 73,511.25 : x
  2. Step 2: Convert to fraction form
    36,246/73,511.25 = 73,511.25/x
  3. Step 3: Cross multiply
    36,246x = 73,511.25 × 73,511.25
  4. Step 4: Simplify right side
    36,246x = 5,403,903,876.56
  5. Step 5: Solve for x
    x = 5,403,903,876.56/36,246
  6. Step 6: Final answer
    x = 149,089.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.