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Finding the Third Proportional to 55,568 and 118,426

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Solution

The third proportional to 55,568 and 118,426 is: 252,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,568 : 118,426 = 118,426 : x
  2. Step 2: Convert to fraction form
    55,568/118,426 = 118,426/x
  3. Step 3: Cross multiply
    55,568x = 118,426 × 118,426
  4. Step 4: Simplify right side
    55,568x = 14,024,717,476
  5. Step 5: Solve for x
    x = 14,024,717,476/55,568
  6. Step 6: Final answer
    x = 252,388.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.