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Finding the Third Proportional to 130,124 and 194,103

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Solution

The third proportional to 130,124 and 194,103 is: 289,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,124 : 194,103 = 194,103 : x
  2. Step 2: Convert to fraction form
    130,124/194,103 = 194,103/x
  3. Step 3: Cross multiply
    130,124x = 194,103 × 194,103
  4. Step 4: Simplify right side
    130,124x = 37,675,974,609
  5. Step 5: Solve for x
    x = 37,675,974,609/130,124
  6. Step 6: Final answer
    x = 289,539.01

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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.