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Finding the Third Proportional to 117,072.84 and 167,294.11

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Solution

The third proportional to 117,072.84 and 167,294.11 is: 239,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,072.84 : 167,294.11 = 167,294.11 : x
  2. Step 2: Convert to fraction form
    117,072.84/167,294.11 = 167,294.11/x
  3. Step 3: Cross multiply
    117,072.84x = 167,294.11 × 167,294.11
  4. Step 4: Simplify right side
    117,072.84x = 27,987,319,031.57
  5. Step 5: Solve for x
    x = 27,987,319,031.57/117,072.84
  6. Step 6: Final answer
    x = 239,059.02

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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.