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Finding the Third Proportional to 53,379 and 123,559.50

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Solution

The third proportional to 53,379 and 123,559.50 is: 286,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,379 : 123,559.50 = 123,559.50 : x
  2. Step 2: Convert to fraction form
    53,379/123,559.50 = 123,559.50/x
  3. Step 3: Cross multiply
    53,379x = 123,559.50 × 123,559.50
  4. Step 4: Simplify right side
    53,379x = 15,266,950,040.25
  5. Step 5: Solve for x
    x = 15,266,950,040.25/53,379
  6. Step 6: Final answer
    x = 286,010.42

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.