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Finding the Third Proportional to 55,536 and 117,270

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Solution

The third proportional to 55,536 and 117,270 is: 247,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,536 : 117,270 = 117,270 : x
  2. Step 2: Convert to fraction form
    55,536/117,270 = 117,270/x
  3. Step 3: Cross multiply
    55,536x = 117,270 × 117,270
  4. Step 4: Simplify right side
    55,536x = 13,752,252,900
  5. Step 5: Solve for x
    x = 13,752,252,900/55,536
  6. Step 6: Final answer
    x = 247,627.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.