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Finding the Third Proportional to 144,130 and 194,019

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Solution

The third proportional to 144,130 and 194,019 is: 261,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,130 : 194,019 = 194,019 : x
  2. Step 2: Convert to fraction form
    144,130/194,019 = 194,019/x
  3. Step 3: Cross multiply
    144,130x = 194,019 × 194,019
  4. Step 4: Simplify right side
    144,130x = 37,643,372,361
  5. Step 5: Solve for x
    x = 37,643,372,361/144,130
  6. Step 6: Final answer
    x = 261,176.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.