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Finding the Third Proportional to 117,084 and 167,310

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Solution

The third proportional to 117,084 and 167,310 is: 239,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,084 : 167,310 = 167,310 : x
  2. Step 2: Convert to fraction form
    117,084/167,310 = 167,310/x
  3. Step 3: Cross multiply
    117,084x = 167,310 × 167,310
  4. Step 4: Simplify right side
    117,084x = 27,992,636,100
  5. Step 5: Solve for x
    x = 27,992,636,100/117,084
  6. Step 6: Final answer
    x = 239,081.65

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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.