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Finding the Third Proportional to 130,122 and 194,100

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Solution

The third proportional to 130,122 and 194,100 is: 289,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,122 : 194,100 = 194,100 : x
  2. Step 2: Convert to fraction form
    130,122/194,100 = 194,100/x
  3. Step 3: Cross multiply
    130,122x = 194,100 × 194,100
  4. Step 4: Simplify right side
    130,122x = 37,674,810,000
  5. Step 5: Solve for x
    x = 37,674,810,000/130,122
  6. Step 6: Final answer
    x = 289,534.51

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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.