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Finding the Third Proportional to 53,294 and 108,424

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Solution

The third proportional to 53,294 and 108,424 is: 220,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,294 : 108,424 = 108,424 : x
  2. Step 2: Convert to fraction form
    53,294/108,424 = 108,424/x
  3. Step 3: Cross multiply
    53,294x = 108,424 × 108,424
  4. Step 4: Simplify right side
    53,294x = 11,755,763,776
  5. Step 5: Solve for x
    x = 11,755,763,776/53,294
  6. Step 6: Final answer
    x = 220,583.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.