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Finding the Third Proportional to 68,550 and 104,772

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Solution

The third proportional to 68,550 and 104,772 is: 160,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,550 : 104,772 = 104,772 : x
  2. Step 2: Convert to fraction form
    68,550/104,772 = 104,772/x
  3. Step 3: Cross multiply
    68,550x = 104,772 × 104,772
  4. Step 4: Simplify right side
    68,550x = 10,977,171,984
  5. Step 5: Solve for x
    x = 10,977,171,984/68,550
  6. Step 6: Final answer
    x = 160,133.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.