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Finding the Third Proportional to 48,994 and 77,867

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Solution

The third proportional to 48,994 and 77,867 is: 123,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,994 : 77,867 = 77,867 : x
  2. Step 2: Convert to fraction form
    48,994/77,867 = 77,867/x
  3. Step 3: Cross multiply
    48,994x = 77,867 × 77,867
  4. Step 4: Simplify right side
    48,994x = 6,063,269,689
  5. Step 5: Solve for x
    x = 6,063,269,689/48,994
  6. Step 6: Final answer
    x = 123,755.35

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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.