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Finding the Third Proportional to 117,014 and 167,208.50

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Solution

The third proportional to 117,014 and 167,208.50 is: 238,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,014 : 167,208.50 = 167,208.50 : x
  2. Step 2: Convert to fraction form
    117,014/167,208.50 = 167,208.50/x
  3. Step 3: Cross multiply
    117,014x = 167,208.50 × 167,208.50
  4. Step 4: Simplify right side
    117,014x = 27,958,682,472.25
  5. Step 5: Solve for x
    x = 27,958,682,472.25/117,014
  6. Step 6: Final answer
    x = 238,934.51

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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.