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Finding the Third Proportional to 51,559.50 and 111,813

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Solution

The third proportional to 51,559.50 and 111,813 is: 242,479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,559.50 : 111,813 = 111,813 : x
  2. Step 2: Convert to fraction form
    51,559.50/111,813 = 111,813/x
  3. Step 3: Cross multiply
    51,559.50x = 111,813 × 111,813
  4. Step 4: Simplify right side
    51,559.50x = 12,502,146,969
  5. Step 5: Solve for x
    x = 12,502,146,969/51,559.50
  6. Step 6: Final answer
    x = 242,479.99

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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.