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Finding the Third Proportional to 55,029.38 and 120,607.31

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Solution

The third proportional to 55,029.38 and 120,607.31 is: 264,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,029.38 : 120,607.31 = 120,607.31 : x
  2. Step 2: Convert to fraction form
    55,029.38/120,607.31 = 120,607.31/x
  3. Step 3: Cross multiply
    55,029.38x = 120,607.31 × 120,607.31
  4. Step 4: Simplify right side
    55,029.38x = 14,546,123,828.47
  5. Step 5: Solve for x
    x = 14,546,123,828.47/55,029.38
  6. Step 6: Final answer
    x = 264,333.80

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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.