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Finding the Third Proportional to 130,011 and 194,166

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Solution

The third proportional to 130,011 and 194,166 is: 289,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,011 : 194,166 = 194,166 : x
  2. Step 2: Convert to fraction form
    130,011/194,166 = 194,166/x
  3. Step 3: Cross multiply
    130,011x = 194,166 × 194,166
  4. Step 4: Simplify right side
    130,011x = 37,700,435,556
  5. Step 5: Solve for x
    x = 37,700,435,556/130,011
  6. Step 6: Final answer
    x = 289,978.81

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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.