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Finding the Third Proportional to 57,530.25 and 119,054.81

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Solution

The third proportional to 57,530.25 and 119,054.81 is: 246,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,530.25 : 119,054.81 = 119,054.81 : x
  2. Step 2: Convert to fraction form
    57,530.25/119,054.81 = 119,054.81/x
  3. Step 3: Cross multiply
    57,530.25x = 119,054.81 × 119,054.81
  4. Step 4: Simplify right side
    57,530.25x = 14,174,048,379.41
  5. Step 5: Solve for x
    x = 14,174,048,379.41/57,530.25
  6. Step 6: Final answer
    x = 246,375.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.