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Finding the Third Proportional to 55,254 and 119,311

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Solution

The third proportional to 55,254 and 119,311 is: 257,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,254 : 119,311 = 119,311 : x
  2. Step 2: Convert to fraction form
    55,254/119,311 = 119,311/x
  3. Step 3: Cross multiply
    55,254x = 119,311 × 119,311
  4. Step 4: Simplify right side
    55,254x = 14,235,114,721
  5. Step 5: Solve for x
    x = 14,235,114,721/55,254
  6. Step 6: Final answer
    x = 257,630.48

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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.