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Finding the Third Proportional to 53,254 and 80,853

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Solution

The third proportional to 53,254 and 80,853 is: 122,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,254 : 80,853 = 80,853 : x
  2. Step 2: Convert to fraction form
    53,254/80,853 = 80,853/x
  3. Step 3: Cross multiply
    53,254x = 80,853 × 80,853
  4. Step 4: Simplify right side
    53,254x = 6,537,207,609
  5. Step 5: Solve for x
    x = 6,537,207,609/53,254
  6. Step 6: Final answer
    x = 122,755.24

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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.