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Finding the Third Proportional to 103,214.25 and 145,344.38

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Solution

The third proportional to 103,214.25 and 145,344.38 is: 204,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,214.25 : 145,344.38 = 145,344.38 : x
  2. Step 2: Convert to fraction form
    103,214.25/145,344.38 = 145,344.38/x
  3. Step 3: Cross multiply
    103,214.25x = 145,344.38 × 145,344.38
  4. Step 4: Simplify right side
    103,214.25x = 21,124,987,344.14
  5. Step 5: Solve for x
    x = 21,124,987,344.14/103,214.25
  6. Step 6: Final answer
    x = 204,671.23

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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.