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Finding the Third Proportional to 65,047 and 95,084

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Solution

The third proportional to 65,047 and 95,084 is: 138,991.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,047 : 95,084 = 95,084 : x
  2. Step 2: Convert to fraction form
    65,047/95,084 = 95,084/x
  3. Step 3: Cross multiply
    65,047x = 95,084 × 95,084
  4. Step 4: Simplify right side
    65,047x = 9,040,967,056
  5. Step 5: Solve for x
    x = 9,040,967,056/65,047
  6. Step 6: Final answer
    x = 138,991.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.