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Finding the Third Proportional to 76,226.06 and 113,236.31

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Solution

The third proportional to 76,226.06 and 113,236.31 is: 168,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,226.06 : 113,236.31 = 113,236.31 : x
  2. Step 2: Convert to fraction form
    76,226.06/113,236.31 = 113,236.31/x
  3. Step 3: Cross multiply
    76,226.06x = 113,236.31 × 113,236.31
  4. Step 4: Simplify right side
    76,226.06x = 12,822,462,468.60
  5. Step 5: Solve for x
    x = 12,822,462,468.60/76,226.06
  6. Step 6: Final answer
    x = 168,216.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.