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Finding the Third Proportional to 65,818 and 102,100

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Solution

The third proportional to 65,818 and 102,100 is: 158,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,818 : 102,100 = 102,100 : x
  2. Step 2: Convert to fraction form
    65,818/102,100 = 102,100/x
  3. Step 3: Cross multiply
    65,818x = 102,100 × 102,100
  4. Step 4: Simplify right side
    65,818x = 10,424,410,000
  5. Step 5: Solve for x
    x = 10,424,410,000/65,818
  6. Step 6: Final answer
    x = 158,382.36

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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.