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Finding the Third Proportional to 74,226.75 and 175,043.50

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Solution

The third proportional to 74,226.75 and 175,043.50 is: 412,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,226.75 : 175,043.50 = 175,043.50 : x
  2. Step 2: Convert to fraction form
    74,226.75/175,043.50 = 175,043.50/x
  3. Step 3: Cross multiply
    74,226.75x = 175,043.50 × 175,043.50
  4. Step 4: Simplify right side
    74,226.75x = 30,640,226,892.25
  5. Step 5: Solve for x
    x = 30,640,226,892.25/74,226.75
  6. Step 6: Final answer
    x = 412,792.25

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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.