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Finding the Third Proportional to 69,889 and 93,112

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Solution

The third proportional to 69,889 and 93,112 is: 124,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,889 : 93,112 = 93,112 : x
  2. Step 2: Convert to fraction form
    69,889/93,112 = 93,112/x
  3. Step 3: Cross multiply
    69,889x = 93,112 × 93,112
  4. Step 4: Simplify right side
    69,889x = 8,669,844,544
  5. Step 5: Solve for x
    x = 8,669,844,544/69,889
  6. Step 6: Final answer
    x = 124,051.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.