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Finding the Third Proportional to 51,172.50 and 111,086.25

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Solution

The third proportional to 51,172.50 and 111,086.25 is: 241,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,172.50 : 111,086.25 = 111,086.25 : x
  2. Step 2: Convert to fraction form
    51,172.50/111,086.25 = 111,086.25/x
  3. Step 3: Cross multiply
    51,172.50x = 111,086.25 × 111,086.25
  4. Step 4: Simplify right side
    51,172.50x = 12,340,154,939.06
  5. Step 5: Solve for x
    x = 12,340,154,939.06/51,172.50
  6. Step 6: Final answer
    x = 241,148.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.