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Finding the Third Proportional to 55,414 and 118,708

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Solution

The third proportional to 55,414 and 118,708 is: 254,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,414 : 118,708 = 118,708 : x
  2. Step 2: Convert to fraction form
    55,414/118,708 = 118,708/x
  3. Step 3: Cross multiply
    55,414x = 118,708 × 118,708
  4. Step 4: Simplify right side
    55,414x = 14,091,589,264
  5. Step 5: Solve for x
    x = 14,091,589,264/55,414
  6. Step 6: Final answer
    x = 254,296.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.