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Finding the Third Proportional to 65,865 and 101,891

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Solution

The third proportional to 65,865 and 101,891 is: 157,622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,865 : 101,891 = 101,891 : x
  2. Step 2: Convert to fraction form
    65,865/101,891 = 101,891/x
  3. Step 3: Cross multiply
    65,865x = 101,891 × 101,891
  4. Step 4: Simplify right side
    65,865x = 10,381,775,881
  5. Step 5: Solve for x
    x = 10,381,775,881/65,865
  6. Step 6: Final answer
    x = 157,622.04

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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.