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Finding the Third Proportional to 69,308 and 107,274

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Solution

The third proportional to 69,308 and 107,274 is: 166,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,308 : 107,274 = 107,274 : x
  2. Step 2: Convert to fraction form
    69,308/107,274 = 107,274/x
  3. Step 3: Cross multiply
    69,308x = 107,274 × 107,274
  4. Step 4: Simplify right side
    69,308x = 11,507,711,076
  5. Step 5: Solve for x
    x = 11,507,711,076/69,308
  6. Step 6: Final answer
    x = 166,037.27

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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.