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Finding the Third Proportional to 48,946 and 77,795

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Solution

The third proportional to 48,946 and 77,795 is: 123,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,946 : 77,795 = 77,795 : x
  2. Step 2: Convert to fraction form
    48,946/77,795 = 77,795/x
  3. Step 3: Cross multiply
    48,946x = 77,795 × 77,795
  4. Step 4: Simplify right side
    48,946x = 6,052,062,025
  5. Step 5: Solve for x
    x = 6,052,062,025/48,946
  6. Step 6: Final answer
    x = 123,647.73

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.