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Finding the Third Proportional to 69,170 and 105,123

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Solution

The third proportional to 69,170 and 105,123 is: 159,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,170 : 105,123 = 105,123 : x
  2. Step 2: Convert to fraction form
    69,170/105,123 = 105,123/x
  3. Step 3: Cross multiply
    69,170x = 105,123 × 105,123
  4. Step 4: Simplify right side
    69,170x = 11,050,845,129
  5. Step 5: Solve for x
    x = 11,050,845,129/69,170
  6. Step 6: Final answer
    x = 159,763.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.