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Finding the Third Proportional to 114,778 and 167,601

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Solution

The third proportional to 114,778 and 167,601 is: 244,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,778 : 167,601 = 167,601 : x
  2. Step 2: Convert to fraction form
    114,778/167,601 = 167,601/x
  3. Step 3: Cross multiply
    114,778x = 167,601 × 167,601
  4. Step 4: Simplify right side
    114,778x = 28,090,095,201
  5. Step 5: Solve for x
    x = 28,090,095,201/114,778
  6. Step 6: Final answer
    x = 244,734.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.