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Finding the Third Proportional to 130,086 and 194,028

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Solution

The third proportional to 130,086 and 194,028 is: 289,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,086 : 194,028 = 194,028 : x
  2. Step 2: Convert to fraction form
    130,086/194,028 = 194,028/x
  3. Step 3: Cross multiply
    130,086x = 194,028 × 194,028
  4. Step 4: Simplify right side
    130,086x = 37,646,864,784
  5. Step 5: Solve for x
    x = 37,646,864,784/130,086
  6. Step 6: Final answer
    x = 289,399.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.