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Finding the Third Proportional to 66,648 and 103,158

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Solution

The third proportional to 66,648 and 103,158 is: 159,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,648 : 103,158 = 103,158 : x
  2. Step 2: Convert to fraction form
    66,648/103,158 = 103,158/x
  3. Step 3: Cross multiply
    66,648x = 103,158 × 103,158
  4. Step 4: Simplify right side
    66,648x = 10,641,572,964
  5. Step 5: Solve for x
    x = 10,641,572,964/66,648
  6. Step 6: Final answer
    x = 159,668.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.