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Finding the Third Proportional to 52,232.63 and 113,896.13

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Solution

The third proportional to 52,232.63 and 113,896.13 is: 248,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,232.63 : 113,896.13 = 113,896.13 : x
  2. Step 2: Convert to fraction form
    52,232.63/113,896.13 = 113,896.13/x
  3. Step 3: Cross multiply
    52,232.63x = 113,896.13 × 113,896.13
  4. Step 4: Simplify right side
    52,232.63x = 12,972,327,290.02
  5. Step 5: Solve for x
    x = 12,972,327,290.02/52,232.63
  6. Step 6: Final answer
    x = 248,356.79

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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.