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Finding the Third Proportional to 117,738 and 168,147.75

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Solution

The third proportional to 117,738 and 168,147.75 is: 240,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,738 : 168,147.75 = 168,147.75 : x
  2. Step 2: Convert to fraction form
    117,738/168,147.75 = 168,147.75/x
  3. Step 3: Cross multiply
    117,738x = 168,147.75 × 168,147.75
  4. Step 4: Simplify right side
    117,738x = 28,273,665,830.06
  5. Step 5: Solve for x
    x = 28,273,665,830.06/117,738
  6. Step 6: Final answer
    x = 240,140.53

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.