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Finding the Third Proportional to 110,403 and 171,922.50

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Solution

The third proportional to 110,403 and 171,922.50 is: 267,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,403 : 171,922.50 = 171,922.50 : x
  2. Step 2: Convert to fraction form
    110,403/171,922.50 = 171,922.50/x
  3. Step 3: Cross multiply
    110,403x = 171,922.50 × 171,922.50
  4. Step 4: Simplify right side
    110,403x = 29,557,346,006.25
  5. Step 5: Solve for x
    x = 29,557,346,006.25/110,403
  6. Step 6: Final answer
    x = 267,722.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.