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Finding the Third Proportional to 121,470 and 194,063

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Solution

The third proportional to 121,470 and 194,063 is: 310,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,470 : 194,063 = 194,063 : x
  2. Step 2: Convert to fraction form
    121,470/194,063 = 194,063/x
  3. Step 3: Cross multiply
    121,470x = 194,063 × 194,063
  4. Step 4: Simplify right side
    121,470x = 37,660,447,969
  5. Step 5: Solve for x
    x = 37,660,447,969/121,470
  6. Step 6: Final answer
    x = 310,039.09

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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.