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Finding the Third Proportional to 48,966 and 105,706

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Solution

The third proportional to 48,966 and 105,706 is: 228,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,966 : 105,706 = 105,706 : x
  2. Step 2: Convert to fraction form
    48,966/105,706 = 105,706/x
  3. Step 3: Cross multiply
    48,966x = 105,706 × 105,706
  4. Step 4: Simplify right side
    48,966x = 11,173,758,436
  5. Step 5: Solve for x
    x = 11,173,758,436/48,966
  6. Step 6: Final answer
    x = 228,194.23

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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.