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Finding the Third Proportional to 68,375 and 104,957

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Solution

The third proportional to 68,375 and 104,957 is: 161,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,375 : 104,957 = 104,957 : x
  2. Step 2: Convert to fraction form
    68,375/104,957 = 104,957/x
  3. Step 3: Cross multiply
    68,375x = 104,957 × 104,957
  4. Step 4: Simplify right side
    68,375x = 11,015,971,849
  5. Step 5: Solve for x
    x = 11,015,971,849/68,375
  6. Step 6: Final answer
    x = 161,111.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.