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Finding the Third Proportional to 51,010 and 111,055

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Solution

The third proportional to 51,010 and 111,055 is: 241,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,010 : 111,055 = 111,055 : x
  2. Step 2: Convert to fraction form
    51,010/111,055 = 111,055/x
  3. Step 3: Cross multiply
    51,010x = 111,055 × 111,055
  4. Step 4: Simplify right side
    51,010x = 12,333,213,025
  5. Step 5: Solve for x
    x = 12,333,213,025/51,010
  6. Step 6: Final answer
    x = 241,780.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.