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Finding the Third Proportional to 122,100 and 174,274

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Solution

The third proportional to 122,100 and 174,274 is: 248,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,100 : 174,274 = 174,274 : x
  2. Step 2: Convert to fraction form
    122,100/174,274 = 174,274/x
  3. Step 3: Cross multiply
    122,100x = 174,274 × 174,274
  4. Step 4: Simplify right side
    122,100x = 30,371,427,076
  5. Step 5: Solve for x
    x = 30,371,427,076/122,100
  6. Step 6: Final answer
    x = 248,742.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.