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Finding the Third Proportional to 117,786 and 168,228.75

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Solution

The third proportional to 117,786 and 168,228.75 is: 240,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,786 : 168,228.75 = 168,228.75 : x
  2. Step 2: Convert to fraction form
    117,786/168,228.75 = 168,228.75/x
  3. Step 3: Cross multiply
    117,786x = 168,228.75 × 168,228.75
  4. Step 4: Simplify right side
    117,786x = 28,300,912,326.56
  5. Step 5: Solve for x
    x = 28,300,912,326.56/117,786
  6. Step 6: Final answer
    x = 240,273.99

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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.