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Finding the Third Proportional to 45,012 and 67,524

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Solution

The third proportional to 45,012 and 67,524 is: 101,295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,012 : 67,524 = 67,524 : x
  2. Step 2: Convert to fraction form
    45,012/67,524 = 67,524/x
  3. Step 3: Cross multiply
    45,012x = 67,524 × 67,524
  4. Step 4: Simplify right side
    45,012x = 4,559,490,576
  5. Step 5: Solve for x
    x = 4,559,490,576/45,012
  6. Step 6: Final answer
    x = 101,295.00

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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.