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Finding the Third Proportional to 66,902 and 103,648

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Solution

The third proportional to 66,902 and 103,648 is: 160,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,902 : 103,648 = 103,648 : x
  2. Step 2: Convert to fraction form
    66,902/103,648 = 103,648/x
  3. Step 3: Cross multiply
    66,902x = 103,648 × 103,648
  4. Step 4: Simplify right side
    66,902x = 10,742,907,904
  5. Step 5: Solve for x
    x = 10,742,907,904/66,902
  6. Step 6: Final answer
    x = 160,576.78

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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.