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Finding the Third Proportional to 120,696.96 and 182,598.68

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Solution

The third proportional to 120,696.96 and 182,598.68 is: 276,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,696.96 : 182,598.68 = 182,598.68 : x
  2. Step 2: Convert to fraction form
    120,696.96/182,598.68 = 182,598.68/x
  3. Step 3: Cross multiply
    120,696.96x = 182,598.68 × 182,598.68
  4. Step 4: Simplify right side
    120,696.96x = 33,342,277,823.62
  5. Step 5: Solve for x
    x = 33,342,277,823.62/120,696.96
  6. Step 6: Final answer
    x = 276,247.87

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Why These Related Problems?

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