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Finding the Third Proportional to 81,686 and 130,065

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Solution

The third proportional to 81,686 and 130,065 is: 207,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,686 : 130,065 = 130,065 : x
  2. Step 2: Convert to fraction form
    81,686/130,065 = 130,065/x
  3. Step 3: Cross multiply
    81,686x = 130,065 × 130,065
  4. Step 4: Simplify right side
    81,686x = 16,916,904,225
  5. Step 5: Solve for x
    x = 16,916,904,225/81,686
  6. Step 6: Final answer
    x = 207,096.74

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.