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Finding the Third Proportional to 78,763 and 167,239

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Solution

The third proportional to 78,763 and 167,239 is: 355,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,763 : 167,239 = 167,239 : x
  2. Step 2: Convert to fraction form
    78,763/167,239 = 167,239/x
  3. Step 3: Cross multiply
    78,763x = 167,239 × 167,239
  4. Step 4: Simplify right side
    78,763x = 27,968,883,121
  5. Step 5: Solve for x
    x = 27,968,883,121/78,763
  6. Step 6: Final answer
    x = 355,101.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.