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Finding the Third Proportional to 110,837.50 and 171,974.25

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Solution

The third proportional to 110,837.50 and 171,974.25 is: 266,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,837.50 : 171,974.25 = 171,974.25 : x
  2. Step 2: Convert to fraction form
    110,837.50/171,974.25 = 171,974.25/x
  3. Step 3: Cross multiply
    110,837.50x = 171,974.25 × 171,974.25
  4. Step 4: Simplify right side
    110,837.50x = 29,575,142,663.06
  5. Step 5: Solve for x
    x = 29,575,142,663.06/110,837.50
  6. Step 6: Final answer
    x = 266,833.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.