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Finding the Third Proportional to 86,020 and 126,500

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Solution

The third proportional to 86,020 and 126,500 is: 186,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,020 : 126,500 = 126,500 : x
  2. Step 2: Convert to fraction form
    86,020/126,500 = 126,500/x
  3. Step 3: Cross multiply
    86,020x = 126,500 × 126,500
  4. Step 4: Simplify right side
    86,020x = 16,002,250,000
  5. Step 5: Solve for x
    x = 16,002,250,000/86,020
  6. Step 6: Final answer
    x = 186,029.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.