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Finding the Third Proportional to 124,969 and 194,783

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Solution

The third proportional to 124,969 and 194,783 is: 303,598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,969 : 194,783 = 194,783 : x
  2. Step 2: Convert to fraction form
    124,969/194,783 = 194,783/x
  3. Step 3: Cross multiply
    124,969x = 194,783 × 194,783
  4. Step 4: Simplify right side
    124,969x = 37,940,417,089
  5. Step 5: Solve for x
    x = 37,940,417,089/124,969
  6. Step 6: Final answer
    x = 303,598.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.