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Finding the Third Proportional to 66,562 and 100,114

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Solution

The third proportional to 66,562 and 100,114 is: 150,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,562 : 100,114 = 100,114 : x
  2. Step 2: Convert to fraction form
    66,562/100,114 = 100,114/x
  3. Step 3: Cross multiply
    66,562x = 100,114 × 100,114
  4. Step 4: Simplify right side
    66,562x = 10,022,812,996
  5. Step 5: Solve for x
    x = 10,022,812,996/66,562
  6. Step 6: Final answer
    x = 150,578.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.