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Finding the Third Proportional to 78,956 and 118,059

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Solution

The third proportional to 78,956 and 118,059 is: 176,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,956 : 118,059 = 118,059 : x
  2. Step 2: Convert to fraction form
    78,956/118,059 = 118,059/x
  3. Step 3: Cross multiply
    78,956x = 118,059 × 118,059
  4. Step 4: Simplify right side
    78,956x = 13,937,927,481
  5. Step 5: Solve for x
    x = 13,937,927,481/78,956
  6. Step 6: Final answer
    x = 176,527.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.