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Finding the Third Proportional to 53,810 and 80,907

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Solution

The third proportional to 53,810 and 80,907 is: 121,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,810 : 80,907 = 80,907 : x
  2. Step 2: Convert to fraction form
    53,810/80,907 = 80,907/x
  3. Step 3: Cross multiply
    53,810x = 80,907 × 80,907
  4. Step 4: Simplify right side
    53,810x = 6,545,942,649
  5. Step 5: Solve for x
    x = 6,545,942,649/53,810
  6. Step 6: Final answer
    x = 121,649.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.