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Finding the Third Proportional to 129,144 and 193,848

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Solution

The third proportional to 129,144 and 193,848 is: 290,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,144 : 193,848 = 193,848 : x
  2. Step 2: Convert to fraction form
    129,144/193,848 = 193,848/x
  3. Step 3: Cross multiply
    129,144x = 193,848 × 193,848
  4. Step 4: Simplify right side
    129,144x = 37,577,047,104
  5. Step 5: Solve for x
    x = 37,577,047,104/129,144
  6. Step 6: Final answer
    x = 290,970.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.