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Finding the Third Proportional to 56,442.50 and 123,379.63

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Solution

The third proportional to 56,442.50 and 123,379.63 is: 269,699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442.50 : 123,379.63 = 123,379.63 : x
  2. Step 2: Convert to fraction form
    56,442.50/123,379.63 = 123,379.63/x
  3. Step 3: Cross multiply
    56,442.50x = 123,379.63 × 123,379.63
  4. Step 4: Simplify right side
    56,442.50x = 15,222,531,865.14
  5. Step 5: Solve for x
    x = 15,222,531,865.14/56,442.50
  6. Step 6: Final answer
    x = 269,699.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.