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Finding the Third Proportional to 52,679 and 114,826

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Solution

The third proportional to 52,679 and 114,826 is: 250,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,679 : 114,826 = 114,826 : x
  2. Step 2: Convert to fraction form
    52,679/114,826 = 114,826/x
  3. Step 3: Cross multiply
    52,679x = 114,826 × 114,826
  4. Step 4: Simplify right side
    52,679x = 13,185,010,276
  5. Step 5: Solve for x
    x = 13,185,010,276/52,679
  6. Step 6: Final answer
    x = 250,289.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.