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Finding the Third Proportional to 122,127 and 194,274

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Solution

The third proportional to 122,127 and 194,274 is: 309,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,127 : 194,274 = 194,274 : x
  2. Step 2: Convert to fraction form
    122,127/194,274 = 194,274/x
  3. Step 3: Cross multiply
    122,127x = 194,274 × 194,274
  4. Step 4: Simplify right side
    122,127x = 37,742,387,076
  5. Step 5: Solve for x
    x = 37,742,387,076/122,127
  6. Step 6: Final answer
    x = 309,042.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.