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Finding the Third Proportional to 84,622 and 129,642

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Solution

The third proportional to 84,622 and 129,642 is: 198,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,622 : 129,642 = 129,642 : x
  2. Step 2: Convert to fraction form
    84,622/129,642 = 129,642/x
  3. Step 3: Cross multiply
    84,622x = 129,642 × 129,642
  4. Step 4: Simplify right side
    84,622x = 16,807,048,164
  5. Step 5: Solve for x
    x = 16,807,048,164/84,622
  6. Step 6: Final answer
    x = 198,613.22

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.