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Finding the Third Proportional to 56,442.38 and 122,601.38

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Solution

The third proportional to 56,442.38 and 122,601.38 is: 266,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442.38 : 122,601.38 = 122,601.38 : x
  2. Step 2: Convert to fraction form
    56,442.38/122,601.38 = 122,601.38/x
  3. Step 3: Cross multiply
    56,442.38x = 122,601.38 × 122,601.38
  4. Step 4: Simplify right side
    56,442.38x = 15,031,097,151.89
  5. Step 5: Solve for x
    x = 15,031,097,151.89/56,442.38
  6. Step 6: Final answer
    x = 266,308.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.