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Finding the Third Proportional to 74,175.75 and 175,006.13

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Solution

The third proportional to 74,175.75 and 175,006.13 is: 412,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,175.75 : 175,006.13 = 175,006.13 : x
  2. Step 2: Convert to fraction form
    74,175.75/175,006.13 = 175,006.13/x
  3. Step 3: Cross multiply
    74,175.75x = 175,006.13 × 175,006.13
  4. Step 4: Simplify right side
    74,175.75x = 30,627,143,787.52
  5. Step 5: Solve for x
    x = 30,627,143,787.52/74,175.75
  6. Step 6: Final answer
    x = 412,899.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.