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Finding the Third Proportional to 50,394 and 110,364

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Solution

The third proportional to 50,394 and 110,364 is: 241,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,394 : 110,364 = 110,364 : x
  2. Step 2: Convert to fraction form
    50,394/110,364 = 110,364/x
  3. Step 3: Cross multiply
    50,394x = 110,364 × 110,364
  4. Step 4: Simplify right side
    50,394x = 12,180,212,496
  5. Step 5: Solve for x
    x = 12,180,212,496/50,394
  6. Step 6: Final answer
    x = 241,699.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.