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Finding the Third Proportional to 42,660 and 67,014

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Solution

The third proportional to 42,660 and 67,014 is: 105,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,660 : 67,014 = 67,014 : x
  2. Step 2: Convert to fraction form
    42,660/67,014 = 67,014/x
  3. Step 3: Cross multiply
    42,660x = 67,014 × 67,014
  4. Step 4: Simplify right side
    42,660x = 4,490,876,196
  5. Step 5: Solve for x
    x = 4,490,876,196/42,660
  6. Step 6: Final answer
    x = 105,271.36

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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.