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Finding the Third Proportional to 74,344.31 and 105,980.44

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Solution

The third proportional to 74,344.31 and 105,980.44 is: 151,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,344.31 : 105,980.44 = 105,980.44 : x
  2. Step 2: Convert to fraction form
    74,344.31/105,980.44 = 105,980.44/x
  3. Step 3: Cross multiply
    74,344.31x = 105,980.44 × 105,980.44
  4. Step 4: Simplify right side
    74,344.31x = 11,231,853,132.69
  5. Step 5: Solve for x
    x = 11,231,853,132.69/74,344.31
  6. Step 6: Final answer
    x = 151,078.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.