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Finding the Third Proportional to 48,943 and 105,662

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Solution

The third proportional to 48,943 and 105,662 is: 228,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,943 : 105,662 = 105,662 : x
  2. Step 2: Convert to fraction form
    48,943/105,662 = 105,662/x
  3. Step 3: Cross multiply
    48,943x = 105,662 × 105,662
  4. Step 4: Simplify right side
    48,943x = 11,164,458,244
  5. Step 5: Solve for x
    x = 11,164,458,244/48,943
  6. Step 6: Final answer
    x = 228,111.44

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