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Finding the Third Proportional to 113,977.50 and 248,025

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Solution

The third proportional to 113,977.50 and 248,025 is: 539,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,977.50 : 248,025 = 248,025 : x
  2. Step 2: Convert to fraction form
    113,977.50/248,025 = 248,025/x
  3. Step 3: Cross multiply
    113,977.50x = 248,025 × 248,025
  4. Step 4: Simplify right side
    113,977.50x = 61,516,400,625
  5. Step 5: Solve for x
    x = 61,516,400,625/113,977.50
  6. Step 6: Final answer
    x = 539,724.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.