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Finding the Third Proportional to 103,696 and 154,895

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Solution

The third proportional to 103,696 and 154,895 is: 231,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696 : 154,895 = 154,895 : x
  2. Step 2: Convert to fraction form
    103,696/154,895 = 154,895/x
  3. Step 3: Cross multiply
    103,696x = 154,895 × 154,895
  4. Step 4: Simplify right side
    103,696x = 23,992,461,025
  5. Step 5: Solve for x
    x = 23,992,461,025/103,696
  6. Step 6: Final answer
    x = 231,373.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.