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Finding the Third Proportional to 68,642 and 104,295

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Solution

The third proportional to 68,642 and 104,295 is: 158,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,642 : 104,295 = 104,295 : x
  2. Step 2: Convert to fraction form
    68,642/104,295 = 104,295/x
  3. Step 3: Cross multiply
    68,642x = 104,295 × 104,295
  4. Step 4: Simplify right side
    68,642x = 10,877,447,025
  5. Step 5: Solve for x
    x = 10,877,447,025/68,642
  6. Step 6: Final answer
    x = 158,466.35

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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.