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Finding the Third Proportional to 52,036.50 and 113,703.56

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Solution

The third proportional to 52,036.50 and 113,703.56 is: 248,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,036.50 : 113,703.56 = 113,703.56 : x
  2. Step 2: Convert to fraction form
    52,036.50/113,703.56 = 113,703.56/x
  3. Step 3: Cross multiply
    52,036.50x = 113,703.56 × 113,703.56
  4. Step 4: Simplify right side
    52,036.50x = 12,928,500,125.19
  5. Step 5: Solve for x
    x = 12,928,500,125.19/52,036.50
  6. Step 6: Final answer
    x = 248,450.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.