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Finding the Third Proportional to 55,422 and 118,719

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Solution

The third proportional to 55,422 and 118,719 is: 254,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,422 : 118,719 = 118,719 : x
  2. Step 2: Convert to fraction form
    55,422/118,719 = 118,719/x
  3. Step 3: Cross multiply
    55,422x = 118,719 × 118,719
  4. Step 4: Simplify right side
    55,422x = 14,094,200,961
  5. Step 5: Solve for x
    x = 14,094,200,961/55,422
  6. Step 6: Final answer
    x = 254,306.97

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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.