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Finding the Third Proportional to 53,250 and 80,847

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Solution

The third proportional to 53,250 and 80,847 is: 122,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,250 : 80,847 = 80,847 : x
  2. Step 2: Convert to fraction form
    53,250/80,847 = 80,847/x
  3. Step 3: Cross multiply
    53,250x = 80,847 × 80,847
  4. Step 4: Simplify right side
    53,250x = 6,536,237,409
  5. Step 5: Solve for x
    x = 6,536,237,409/53,250
  6. Step 6: Final answer
    x = 122,746.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.