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Finding the Third Proportional to 55,280 and 119,296

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Solution

The third proportional to 55,280 and 119,296 is: 257,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,280 : 119,296 = 119,296 : x
  2. Step 2: Convert to fraction form
    55,280/119,296 = 119,296/x
  3. Step 3: Cross multiply
    55,280x = 119,296 × 119,296
  4. Step 4: Simplify right side
    55,280x = 14,231,535,616
  5. Step 5: Solve for x
    x = 14,231,535,616/55,280
  6. Step 6: Final answer
    x = 257,444.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.