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Finding the Third Proportional to 66,980 and 93,648

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Solution

The third proportional to 66,980 and 93,648 is: 130,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,980 : 93,648 = 93,648 : x
  2. Step 2: Convert to fraction form
    66,980/93,648 = 93,648/x
  3. Step 3: Cross multiply
    66,980x = 93,648 × 93,648
  4. Step 4: Simplify right side
    66,980x = 8,769,947,904
  5. Step 5: Solve for x
    x = 8,769,947,904/66,980
  6. Step 6: Final answer
    x = 130,933.83

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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.