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Finding the Third Proportional to 55,945.50 and 85,379.25

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Solution

The third proportional to 55,945.50 and 85,379.25 is: 130,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,945.50 : 85,379.25 = 85,379.25 : x
  2. Step 2: Convert to fraction form
    55,945.50/85,379.25 = 85,379.25/x
  3. Step 3: Cross multiply
    55,945.50x = 85,379.25 × 85,379.25
  4. Step 4: Simplify right side
    55,945.50x = 7,289,616,330.56
  5. Step 5: Solve for x
    x = 7,289,616,330.56/55,945.50
  6. Step 6: Final answer
    x = 130,298.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.