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Finding the Third Proportional to 65,898 and 101,999

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Solution

The third proportional to 65,898 and 101,999 is: 157,877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,898 : 101,999 = 101,999 : x
  2. Step 2: Convert to fraction form
    65,898/101,999 = 101,999/x
  3. Step 3: Cross multiply
    65,898x = 101,999 × 101,999
  4. Step 4: Simplify right side
    65,898x = 10,403,796,001
  5. Step 5: Solve for x
    x = 10,403,796,001/65,898
  6. Step 6: Final answer
    x = 157,877.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.