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Finding the Third Proportional to 113,969.53 and 248,006.81

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Solution

The third proportional to 113,969.53 and 248,006.81 is: 539,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,969.53 : 248,006.81 = 248,006.81 : x
  2. Step 2: Convert to fraction form
    113,969.53/248,006.81 = 248,006.81/x
  3. Step 3: Cross multiply
    113,969.53x = 248,006.81 × 248,006.81
  4. Step 4: Simplify right side
    113,969.53x = 61,507,379,046.41
  5. Step 5: Solve for x
    x = 61,507,379,046.41/113,969.53
  6. Step 6: Final answer
    x = 539,682.65

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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.