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Finding the Third Proportional to 47,304 and 109,494

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Solution

The third proportional to 47,304 and 109,494 is: 253,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,304 : 109,494 = 109,494 : x
  2. Step 2: Convert to fraction form
    47,304/109,494 = 109,494/x
  3. Step 3: Cross multiply
    47,304x = 109,494 × 109,494
  4. Step 4: Simplify right side
    47,304x = 11,988,936,036
  5. Step 5: Solve for x
    x = 11,988,936,036/47,304
  6. Step 6: Final answer
    x = 253,444.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.