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Finding the Third Proportional to 66,542 and 100,083

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Solution

The third proportional to 66,542 and 100,083 is: 150,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,542 : 100,083 = 100,083 : x
  2. Step 2: Convert to fraction form
    66,542/100,083 = 100,083/x
  3. Step 3: Cross multiply
    66,542x = 100,083 × 100,083
  4. Step 4: Simplify right side
    66,542x = 10,016,606,889
  5. Step 5: Solve for x
    x = 10,016,606,889/66,542
  6. Step 6: Final answer
    x = 150,530.60

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