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Finding the Third Proportional to 73,412.25 and 111,657

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Solution

The third proportional to 73,412.25 and 111,657 is: 169,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,412.25 : 111,657 = 111,657 : x
  2. Step 2: Convert to fraction form
    73,412.25/111,657 = 111,657/x
  3. Step 3: Cross multiply
    73,412.25x = 111,657 × 111,657
  4. Step 4: Simplify right side
    73,412.25x = 12,467,285,649
  5. Step 5: Solve for x
    x = 12,467,285,649/73,412.25
  6. Step 6: Final answer
    x = 169,825.69

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