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Finding the Third Proportional to 120,696.89 and 182,598.47

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Solution

The third proportional to 120,696.89 and 182,598.47 is: 276,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,696.89 : 182,598.47 = 182,598.47 : x
  2. Step 2: Convert to fraction form
    120,696.89/182,598.47 = 182,598.47/x
  3. Step 3: Cross multiply
    120,696.89x = 182,598.47 × 182,598.47
  4. Step 4: Simplify right side
    120,696.89x = 33,342,200,789.84
  5. Step 5: Solve for x
    x = 33,342,200,789.84/120,696.89
  6. Step 6: Final answer
    x = 276,247.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.