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Finding the Third Proportional to 68,094 and 103,581

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Solution

The third proportional to 68,094 and 103,581 is: 157,561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,094 : 103,581 = 103,581 : x
  2. Step 2: Convert to fraction form
    68,094/103,581 = 103,581/x
  3. Step 3: Cross multiply
    68,094x = 103,581 × 103,581
  4. Step 4: Simplify right side
    68,094x = 10,729,023,561
  5. Step 5: Solve for x
    x = 10,729,023,561/68,094
  6. Step 6: Final answer
    x = 157,561.95

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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.