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Finding the Third Proportional to 55,353 and 114,645

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Solution

The third proportional to 55,353 and 114,645 is: 237,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,353 : 114,645 = 114,645 : x
  2. Step 2: Convert to fraction form
    55,353/114,645 = 114,645/x
  3. Step 3: Cross multiply
    55,353x = 114,645 × 114,645
  4. Step 4: Simplify right side
    55,353x = 13,143,476,025
  5. Step 5: Solve for x
    x = 13,143,476,025/55,353
  6. Step 6: Final answer
    x = 237,448.30

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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.