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Finding the Third Proportional to 42,612 and 66,700

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Solution

The third proportional to 42,612 and 66,700 is: 104,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,612 : 66,700 = 66,700 : x
  2. Step 2: Convert to fraction form
    42,612/66,700 = 66,700/x
  3. Step 3: Cross multiply
    42,612x = 66,700 × 66,700
  4. Step 4: Simplify right side
    42,612x = 4,448,890,000
  5. Step 5: Solve for x
    x = 4,448,890,000/42,612
  6. Step 6: Final answer
    x = 104,404.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.