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Finding the Third Proportional to 47,504 and 109,988

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Solution

The third proportional to 47,504 and 109,988 is: 254,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,504 : 109,988 = 109,988 : x
  2. Step 2: Convert to fraction form
    47,504/109,988 = 109,988/x
  3. Step 3: Cross multiply
    47,504x = 109,988 × 109,988
  4. Step 4: Simplify right side
    47,504x = 12,097,360,144
  5. Step 5: Solve for x
    x = 12,097,360,144/47,504
  6. Step 6: Final answer
    x = 254,659.82

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.