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Finding the Third Proportional to 48,474 and 105,951

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Solution

The third proportional to 48,474 and 105,951 is: 231,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,474 : 105,951 = 105,951 : x
  2. Step 2: Convert to fraction form
    48,474/105,951 = 105,951/x
  3. Step 3: Cross multiply
    48,474x = 105,951 × 105,951
  4. Step 4: Simplify right side
    48,474x = 11,225,614,401
  5. Step 5: Solve for x
    x = 11,225,614,401/48,474
  6. Step 6: Final answer
    x = 231,580.11

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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.