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Finding the Third Proportional to 117,543 and 179,068

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Solution

The third proportional to 117,543 and 179,068 is: 272,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,543 : 179,068 = 179,068 : x
  2. Step 2: Convert to fraction form
    117,543/179,068 = 179,068/x
  3. Step 3: Cross multiply
    117,543x = 179,068 × 179,068
  4. Step 4: Simplify right side
    117,543x = 32,065,348,624
  5. Step 5: Solve for x
    x = 32,065,348,624/117,543
  6. Step 6: Final answer
    x = 272,796.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.