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Finding the Third Proportional to 91,469.25 and 145,673.44

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Solution

The third proportional to 91,469.25 and 145,673.44 is: 231,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,469.25 : 145,673.44 = 145,673.44 : x
  2. Step 2: Convert to fraction form
    91,469.25/145,673.44 = 145,673.44/x
  3. Step 3: Cross multiply
    91,469.25x = 145,673.44 × 145,673.44
  4. Step 4: Simplify right side
    91,469.25x = 21,220,750,393.07
  5. Step 5: Solve for x
    x = 21,220,750,393.07/91,469.25
  6. Step 6: Final answer
    x = 231,998.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.