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Finding the Third Proportional to 51,810.89 and 113,486.06

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Solution

The third proportional to 51,810.89 and 113,486.06 is: 248,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810.89 : 113,486.06 = 113,486.06 : x
  2. Step 2: Convert to fraction form
    51,810.89/113,486.06 = 113,486.06/x
  3. Step 3: Cross multiply
    51,810.89x = 113,486.06 × 113,486.06
  4. Step 4: Simplify right side
    51,810.89x = 12,879,086,381.75
  5. Step 5: Solve for x
    x = 12,879,086,381.75/51,810.89
  6. Step 6: Final answer
    x = 248,578.75

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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.