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Finding the Third Proportional to 68,564.25 and 104,170.50

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Solution

The third proportional to 68,564.25 and 104,170.50 is: 158,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,564.25 : 104,170.50 = 104,170.50 : x
  2. Step 2: Convert to fraction form
    68,564.25/104,170.50 = 104,170.50/x
  3. Step 3: Cross multiply
    68,564.25x = 104,170.50 × 104,170.50
  4. Step 4: Simplify right side
    68,564.25x = 10,851,493,070.25
  5. Step 5: Solve for x
    x = 10,851,493,070.25/68,564.25
  6. Step 6: Final answer
    x = 158,267.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.