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Finding the Third Proportional to 65,992 and 98,664

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Solution

The third proportional to 65,992 and 98,664 is: 147,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,992 : 98,664 = 98,664 : x
  2. Step 2: Convert to fraction form
    65,992/98,664 = 98,664/x
  3. Step 3: Cross multiply
    65,992x = 98,664 × 98,664
  4. Step 4: Simplify right side
    65,992x = 9,734,584,896
  5. Step 5: Solve for x
    x = 9,734,584,896/65,992
  6. Step 6: Final answer
    x = 147,511.59

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Why These Related Problems?

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