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Finding the Third Proportional to 117,015 and 167,210

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Solution

The third proportional to 117,015 and 167,210 is: 238,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,015 : 167,210 = 167,210 : x
  2. Step 2: Convert to fraction form
    117,015/167,210 = 167,210/x
  3. Step 3: Cross multiply
    117,015x = 167,210 × 167,210
  4. Step 4: Simplify right side
    117,015x = 27,959,184,100
  5. Step 5: Solve for x
    x = 27,959,184,100/117,015
  6. Step 6: Final answer
    x = 238,936.75

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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.