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Finding the Third Proportional to 86,577 and 130,116

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Solution

The third proportional to 86,577 and 130,116 is: 195,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,577 : 130,116 = 130,116 : x
  2. Step 2: Convert to fraction form
    86,577/130,116 = 130,116/x
  3. Step 3: Cross multiply
    86,577x = 130,116 × 130,116
  4. Step 4: Simplify right side
    86,577x = 16,930,173,456
  5. Step 5: Solve for x
    x = 16,930,173,456/86,577
  6. Step 6: Final answer
    x = 195,550.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.