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Finding the Third Proportional to 67,562.44 and 105,983.44

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Solution

The third proportional to 67,562.44 and 105,983.44 is: 166,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,562.44 : 105,983.44 = 105,983.44 : x
  2. Step 2: Convert to fraction form
    67,562.44/105,983.44 = 105,983.44/x
  3. Step 3: Cross multiply
    67,562.44x = 105,983.44 × 105,983.44
  4. Step 4: Simplify right side
    67,562.44x = 11,232,489,024.32
  5. Step 5: Solve for x
    x = 11,232,489,024.32/67,562.44
  6. Step 6: Final answer
    x = 166,253.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.