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Finding the Third Proportional to 60,022 and 129,670

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Solution

The third proportional to 60,022 and 129,670 is: 280,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,022 : 129,670 = 129,670 : x
  2. Step 2: Convert to fraction form
    60,022/129,670 = 129,670/x
  3. Step 3: Cross multiply
    60,022x = 129,670 × 129,670
  4. Step 4: Simplify right side
    60,022x = 16,814,308,900
  5. Step 5: Solve for x
    x = 16,814,308,900/60,022
  6. Step 6: Final answer
    x = 280,135.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.