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Finding the Third Proportional to 50,260 and 109,262

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Solution

The third proportional to 50,260 and 109,262 is: 237,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,260 : 109,262 = 109,262 : x
  2. Step 2: Convert to fraction form
    50,260/109,262 = 109,262/x
  3. Step 3: Cross multiply
    50,260x = 109,262 × 109,262
  4. Step 4: Simplify right side
    50,260x = 11,938,184,644
  5. Step 5: Solve for x
    x = 11,938,184,644/50,260
  6. Step 6: Final answer
    x = 237,528.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.