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Finding the Third Proportional to 74,216.50 and 175,023.75

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Solution

The third proportional to 74,216.50 and 175,023.75 is: 412,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,216.50 : 175,023.75 = 175,023.75 : x
  2. Step 2: Convert to fraction form
    74,216.50/175,023.75 = 175,023.75/x
  3. Step 3: Cross multiply
    74,216.50x = 175,023.75 × 175,023.75
  4. Step 4: Simplify right side
    74,216.50x = 30,633,313,064.06
  5. Step 5: Solve for x
    x = 30,633,313,064.06/74,216.50
  6. Step 6: Final answer
    x = 412,756.10

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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.