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Finding the Third Proportional to 74,216.50 and 151,025

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Solution

The third proportional to 74,216.50 and 151,025 is: 307,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,216.50 : 151,025 = 151,025 : x
  2. Step 2: Convert to fraction form
    74,216.50/151,025 = 151,025/x
  3. Step 3: Cross multiply
    74,216.50x = 151,025 × 151,025
  4. Step 4: Simplify right side
    74,216.50x = 22,808,550,625
  5. Step 5: Solve for x
    x = 22,808,550,625/74,216.50
  6. Step 6: Final answer
    x = 307,324.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.