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Finding the Third Proportional to 55,641 and 114,951

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Solution

The third proportional to 55,641 and 114,951 is: 237,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,641 : 114,951 = 114,951 : x
  2. Step 2: Convert to fraction form
    55,641/114,951 = 114,951/x
  3. Step 3: Cross multiply
    55,641x = 114,951 × 114,951
  4. Step 4: Simplify right side
    55,641x = 13,213,732,401
  5. Step 5: Solve for x
    x = 13,213,732,401/55,641
  6. Step 6: Final answer
    x = 237,481.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.