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Finding the Third Proportional to 111,622 and 170,053.50

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Solution

The third proportional to 111,622 and 170,053.50 is: 259,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,622 : 170,053.50 = 170,053.50 : x
  2. Step 2: Convert to fraction form
    111,622/170,053.50 = 170,053.50/x
  3. Step 3: Cross multiply
    111,622x = 170,053.50 × 170,053.50
  4. Step 4: Simplify right side
    111,622x = 28,918,192,862.25
  5. Step 5: Solve for x
    x = 28,918,192,862.25/111,622
  6. Step 6: Final answer
    x = 259,072.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.