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Finding the Third Proportional to 91,735.25 and 129,183.25

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Solution

The third proportional to 91,735.25 and 129,183.25 is: 181,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,735.25 : 129,183.25 = 129,183.25 : x
  2. Step 2: Convert to fraction form
    91,735.25/129,183.25 = 129,183.25/x
  3. Step 3: Cross multiply
    91,735.25x = 129,183.25 × 129,183.25
  4. Step 4: Simplify right side
    91,735.25x = 16,688,312,080.56
  5. Step 5: Solve for x
    x = 16,688,312,080.56/91,735.25
  6. Step 6: Final answer
    x = 181,918.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.