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Finding the Third Proportional to 74,422.50 and 175,647

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Solution

The third proportional to 74,422.50 and 175,647 is: 414,550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,422.50 : 175,647 = 175,647 : x
  2. Step 2: Convert to fraction form
    74,422.50/175,647 = 175,647/x
  3. Step 3: Cross multiply
    74,422.50x = 175,647 × 175,647
  4. Step 4: Simplify right side
    74,422.50x = 30,851,868,609
  5. Step 5: Solve for x
    x = 30,851,868,609/74,422.50
  6. Step 6: Final answer
    x = 414,550.29

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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.