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Finding the Third Proportional to 59,936 and 83,968

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Solution

The third proportional to 59,936 and 83,968 is: 117,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,936 : 83,968 = 83,968 : x
  2. Step 2: Convert to fraction form
    59,936/83,968 = 83,968/x
  3. Step 3: Cross multiply
    59,936x = 83,968 × 83,968
  4. Step 4: Simplify right side
    59,936x = 7,050,625,024
  5. Step 5: Solve for x
    x = 7,050,625,024/59,936
  6. Step 6: Final answer
    x = 117,635.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.