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Finding the Third Proportional to 65,988 and 106,245

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Solution

The third proportional to 65,988 and 106,245 is: 171,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,988 : 106,245 = 106,245 : x
  2. Step 2: Convert to fraction form
    65,988/106,245 = 106,245/x
  3. Step 3: Cross multiply
    65,988x = 106,245 × 106,245
  4. Step 4: Simplify right side
    65,988x = 11,288,000,025
  5. Step 5: Solve for x
    x = 11,288,000,025/65,988
  6. Step 6: Final answer
    x = 171,061.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.