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Finding the Third Proportional to 117,693.84 and 171,072.84

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Solution

The third proportional to 117,693.84 and 171,072.84 is: 248,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,693.84 : 171,072.84 = 171,072.84 : x
  2. Step 2: Convert to fraction form
    117,693.84/171,072.84 = 171,072.84/x
  3. Step 3: Cross multiply
    117,693.84x = 171,072.84 × 171,072.84
  4. Step 4: Simplify right side
    117,693.84x = 29,265,917,868.71
  5. Step 5: Solve for x
    x = 29,265,917,868.71/117,693.84
  6. Step 6: Final answer
    x = 248,661.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.