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Finding the Third Proportional to 117,504 and 175,817.25

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Solution

The third proportional to 117,504 and 175,817.25 is: 263,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,504 : 175,817.25 = 175,817.25 : x
  2. Step 2: Convert to fraction form
    117,504/175,817.25 = 175,817.25/x
  3. Step 3: Cross multiply
    117,504x = 175,817.25 × 175,817.25
  4. Step 4: Simplify right side
    117,504x = 30,911,705,397.56
  5. Step 5: Solve for x
    x = 30,911,705,397.56/117,504
  6. Step 6: Final answer
    x = 263,069.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.