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Finding the Third Proportional to 55,411 and 117,743

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Solution

The third proportional to 55,411 and 117,743 is: 250,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,411 : 117,743 = 117,743 : x
  2. Step 2: Convert to fraction form
    55,411/117,743 = 117,743/x
  3. Step 3: Cross multiply
    55,411x = 117,743 × 117,743
  4. Step 4: Simplify right side
    55,411x = 13,863,414,049
  5. Step 5: Solve for x
    x = 13,863,414,049/55,411
  6. Step 6: Final answer
    x = 250,192.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.