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Finding the Third Proportional to 53,065.50 and 111,891

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Solution

The third proportional to 53,065.50 and 111,891 is: 235,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,065.50 : 111,891 = 111,891 : x
  2. Step 2: Convert to fraction form
    53,065.50/111,891 = 111,891/x
  3. Step 3: Cross multiply
    53,065.50x = 111,891 × 111,891
  4. Step 4: Simplify right side
    53,065.50x = 12,519,595,881
  5. Step 5: Solve for x
    x = 12,519,595,881/53,065.50
  6. Step 6: Final answer
    x = 235,927.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.