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Finding the Third Proportional to 50,258 and 110,452

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Solution

The third proportional to 50,258 and 110,452 is: 242,740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,258 : 110,452 = 110,452 : x
  2. Step 2: Convert to fraction form
    50,258/110,452 = 110,452/x
  3. Step 3: Cross multiply
    50,258x = 110,452 × 110,452
  4. Step 4: Simplify right side
    50,258x = 12,199,644,304
  5. Step 5: Solve for x
    x = 12,199,644,304/50,258
  6. Step 6: Final answer
    x = 242,740.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.