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Finding the Third Proportional to 121,467 and 194,058

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Solution

The third proportional to 121,467 and 194,058 is: 310,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,467 : 194,058 = 194,058 : x
  2. Step 2: Convert to fraction form
    121,467/194,058 = 194,058/x
  3. Step 3: Cross multiply
    121,467x = 194,058 × 194,058
  4. Step 4: Simplify right side
    121,467x = 37,658,507,364
  5. Step 5: Solve for x
    x = 37,658,507,364/121,467
  6. Step 6: Final answer
    x = 310,030.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.