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Finding the Third Proportional to 128,165 and 194,159

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Solution

The third proportional to 128,165 and 194,159 is: 294,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,165 : 194,159 = 194,159 : x
  2. Step 2: Convert to fraction form
    128,165/194,159 = 194,159/x
  3. Step 3: Cross multiply
    128,165x = 194,159 × 194,159
  4. Step 4: Simplify right side
    128,165x = 37,697,717,281
  5. Step 5: Solve for x
    x = 37,697,717,281/128,165
  6. Step 6: Final answer
    x = 294,134.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.