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Finding the Third Proportional to 55,737 and 119,245

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Solution

The third proportional to 55,737 and 119,245 is: 255,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,737 : 119,245 = 119,245 : x
  2. Step 2: Convert to fraction form
    55,737/119,245 = 119,245/x
  3. Step 3: Cross multiply
    55,737x = 119,245 × 119,245
  4. Step 4: Simplify right side
    55,737x = 14,219,370,025
  5. Step 5: Solve for x
    x = 14,219,370,025/55,737
  6. Step 6: Final answer
    x = 255,115.45

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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.