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Finding the Third Proportional to 51,063.75 and 111,817.13

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Solution

The third proportional to 51,063.75 and 111,817.13 is: 244,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,063.75 : 111,817.13 = 111,817.13 : x
  2. Step 2: Convert to fraction form
    51,063.75/111,817.13 = 111,817.13/x
  3. Step 3: Cross multiply
    51,063.75x = 111,817.13 × 111,817.13
  4. Step 4: Simplify right side
    51,063.75x = 12,503,069,443.27
  5. Step 5: Solve for x
    x = 12,503,069,443.27/51,063.75
  6. Step 6: Final answer
    x = 244,852.16

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Why These Related Problems?

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