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Finding the Third Proportional to 50,460 and 107,292

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Solution

The third proportional to 50,460 and 107,292 is: 228,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,460 : 107,292 = 107,292 : x
  2. Step 2: Convert to fraction form
    50,460/107,292 = 107,292/x
  3. Step 3: Cross multiply
    50,460x = 107,292 × 107,292
  4. Step 4: Simplify right side
    50,460x = 11,511,573,264
  5. Step 5: Solve for x
    x = 11,511,573,264/50,460
  6. Step 6: Final answer
    x = 228,132.64

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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.