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Finding the Third Proportional to 53,736 and 80,532

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Solution

The third proportional to 53,736 and 80,532 is: 120,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,736 : 80,532 = 80,532 : x
  2. Step 2: Convert to fraction form
    53,736/80,532 = 80,532/x
  3. Step 3: Cross multiply
    53,736x = 80,532 × 80,532
  4. Step 4: Simplify right side
    53,736x = 6,485,403,024
  5. Step 5: Solve for x
    x = 6,485,403,024/53,736
  6. Step 6: Final answer
    x = 120,690.10

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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.