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Finding the Third Proportional to 70,100 and 108,848

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Solution

The third proportional to 70,100 and 108,848 is: 169,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,100 : 108,848 = 108,848 : x
  2. Step 2: Convert to fraction form
    70,100/108,848 = 108,848/x
  3. Step 3: Cross multiply
    70,100x = 108,848 × 108,848
  4. Step 4: Simplify right side
    70,100x = 11,847,887,104
  5. Step 5: Solve for x
    x = 11,847,887,104/70,100
  6. Step 6: Final answer
    x = 169,014.08

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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.