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Finding the Third Proportional to 77,211 and 167,706

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Solution

The third proportional to 77,211 and 167,706 is: 364,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,211 : 167,706 = 167,706 : x
  2. Step 2: Convert to fraction form
    77,211/167,706 = 167,706/x
  3. Step 3: Cross multiply
    77,211x = 167,706 × 167,706
  4. Step 4: Simplify right side
    77,211x = 28,125,302,436
  5. Step 5: Solve for x
    x = 28,125,302,436/77,211
  6. Step 6: Final answer
    x = 364,265.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.