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Finding the Third Proportional to 49,502 and 115,508.50

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Solution

The third proportional to 49,502 and 115,508.50 is: 269,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,502 : 115,508.50 = 115,508.50 : x
  2. Step 2: Convert to fraction form
    49,502/115,508.50 = 115,508.50/x
  3. Step 3: Cross multiply
    49,502x = 115,508.50 × 115,508.50
  4. Step 4: Simplify right side
    49,502x = 13,342,213,572.25
  5. Step 5: Solve for x
    x = 13,342,213,572.25/49,502
  6. Step 6: Final answer
    x = 269,528.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.