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Finding the Third Proportional to 111,557.25 and 169,950.38

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Solution

The third proportional to 111,557.25 and 169,950.38 is: 258,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,557.25 : 169,950.38 = 169,950.38 : x
  2. Step 2: Convert to fraction form
    111,557.25/169,950.38 = 169,950.38/x
  3. Step 3: Cross multiply
    111,557.25x = 169,950.38 × 169,950.38
  4. Step 4: Simplify right side
    111,557.25x = 28,883,129,962.64
  5. Step 5: Solve for x
    x = 28,883,129,962.64/111,557.25
  6. Step 6: Final answer
    x = 258,908.59

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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.