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Finding the Third Proportional to 124,294 and 196,906

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Solution

The third proportional to 124,294 and 196,906 is: 311,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,294 : 196,906 = 196,906 : x
  2. Step 2: Convert to fraction form
    124,294/196,906 = 196,906/x
  3. Step 3: Cross multiply
    124,294x = 196,906 × 196,906
  4. Step 4: Simplify right side
    124,294x = 38,771,972,836
  5. Step 5: Solve for x
    x = 38,771,972,836/124,294
  6. Step 6: Final answer
    x = 311,937.61

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.