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Finding the Third Proportional to 68,254 and 103,334

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Solution

The third proportional to 68,254 and 103,334 is: 156,443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,254 : 103,334 = 103,334 : x
  2. Step 2: Convert to fraction form
    68,254/103,334 = 103,334/x
  3. Step 3: Cross multiply
    68,254x = 103,334 × 103,334
  4. Step 4: Simplify right side
    68,254x = 10,677,915,556
  5. Step 5: Solve for x
    x = 10,677,915,556/68,254
  6. Step 6: Final answer
    x = 156,443.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.