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Finding the Third Proportional to 134,711 and 196,143

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Solution

The third proportional to 134,711 and 196,143 is: 285,589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,711 : 196,143 = 196,143 : x
  2. Step 2: Convert to fraction form
    134,711/196,143 = 196,143/x
  3. Step 3: Cross multiply
    134,711x = 196,143 × 196,143
  4. Step 4: Simplify right side
    134,711x = 38,472,076,449
  5. Step 5: Solve for x
    x = 38,472,076,449/134,711
  6. Step 6: Final answer
    x = 285,589.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.