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Finding the Third Proportional to 117,573 and 168,063.75

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Solution

The third proportional to 117,573 and 168,063.75 is: 240,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,573 : 168,063.75 = 168,063.75 : x
  2. Step 2: Convert to fraction form
    117,573/168,063.75 = 168,063.75/x
  3. Step 3: Cross multiply
    117,573x = 168,063.75 × 168,063.75
  4. Step 4: Simplify right side
    117,573x = 28,245,424,064.06
  5. Step 5: Solve for x
    x = 28,245,424,064.06/117,573
  6. Step 6: Final answer
    x = 240,237.33

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Why These Related Problems?

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