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Finding the Third Proportional to 48,906 and 71,968.50

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Solution

The third proportional to 48,906 and 71,968.50 is: 105,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,906 : 71,968.50 = 71,968.50 : x
  2. Step 2: Convert to fraction form
    48,906/71,968.50 = 71,968.50/x
  3. Step 3: Cross multiply
    48,906x = 71,968.50 × 71,968.50
  4. Step 4: Simplify right side
    48,906x = 5,179,464,992.25
  5. Step 5: Solve for x
    x = 5,179,464,992.25/48,906
  6. Step 6: Final answer
    x = 105,906.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.