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Finding the Third Proportional to 68,955 and 105,438

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Solution

The third proportional to 68,955 and 105,438 is: 161,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,955 : 105,438 = 105,438 : x
  2. Step 2: Convert to fraction form
    68,955/105,438 = 105,438/x
  3. Step 3: Cross multiply
    68,955x = 105,438 × 105,438
  4. Step 4: Simplify right side
    68,955x = 11,117,171,844
  5. Step 5: Solve for x
    x = 11,117,171,844/68,955
  6. Step 6: Final answer
    x = 161,223.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.