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Finding the Third Proportional to 48,954 and 105,683

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Solution

The third proportional to 48,954 and 105,683 is: 228,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,954 : 105,683 = 105,683 : x
  2. Step 2: Convert to fraction form
    48,954/105,683 = 105,683/x
  3. Step 3: Cross multiply
    48,954x = 105,683 × 105,683
  4. Step 4: Simplify right side
    48,954x = 11,168,896,489
  5. Step 5: Solve for x
    x = 11,168,896,489/48,954
  6. Step 6: Final answer
    x = 228,150.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.