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Finding the Third Proportional to 84,768 and 114,994

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Solution

The third proportional to 84,768 and 114,994 is: 155,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,768 : 114,994 = 114,994 : x
  2. Step 2: Convert to fraction form
    84,768/114,994 = 114,994/x
  3. Step 3: Cross multiply
    84,768x = 114,994 × 114,994
  4. Step 4: Simplify right side
    84,768x = 13,223,620,036
  5. Step 5: Solve for x
    x = 13,223,620,036/84,768
  6. Step 6: Final answer
    x = 155,997.78

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.