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Finding the Third Proportional to 40,543 and 60,753

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Solution

The third proportional to 40,543 and 60,753 is: 91,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,543 : 60,753 = 60,753 : x
  2. Step 2: Convert to fraction form
    40,543/60,753 = 60,753/x
  3. Step 3: Cross multiply
    40,543x = 60,753 × 60,753
  4. Step 4: Simplify right side
    40,543x = 3,690,927,009
  5. Step 5: Solve for x
    x = 3,690,927,009/40,543
  6. Step 6: Final answer
    x = 91,037.34

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