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Finding the Third Proportional to 52,596.56 and 112,728.38

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Solution

The third proportional to 52,596.56 and 112,728.38 is: 241,606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,596.56 : 112,728.38 = 112,728.38 : x
  2. Step 2: Convert to fraction form
    52,596.56/112,728.38 = 112,728.38/x
  3. Step 3: Cross multiply
    52,596.56x = 112,728.38 × 112,728.38
  4. Step 4: Simplify right side
    52,596.56x = 12,707,686,530.14
  5. Step 5: Solve for x
    x = 12,707,686,530.14/52,596.56
  6. Step 6: Final answer
    x = 241,606.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.