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Finding the Third Proportional to 53,770 and 80,562

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Solution

The third proportional to 53,770 and 80,562 is: 120,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,770 : 80,562 = 80,562 : x
  2. Step 2: Convert to fraction form
    53,770/80,562 = 80,562/x
  3. Step 3: Cross multiply
    53,770x = 80,562 × 80,562
  4. Step 4: Simplify right side
    53,770x = 6,490,235,844
  5. Step 5: Solve for x
    x = 6,490,235,844/53,770
  6. Step 6: Final answer
    x = 120,703.66

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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.