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Finding the Third Proportional to 55,514 and 115,564

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Solution

The third proportional to 55,514 and 115,564 is: 240,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,514 : 115,564 = 115,564 : x
  2. Step 2: Convert to fraction form
    55,514/115,564 = 115,564/x
  3. Step 3: Cross multiply
    55,514x = 115,564 × 115,564
  4. Step 4: Simplify right side
    55,514x = 13,355,038,096
  5. Step 5: Solve for x
    x = 13,355,038,096/55,514
  6. Step 6: Final answer
    x = 240,570.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.