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Finding the Third Proportional to 129,834 and 197,181

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Solution

The third proportional to 129,834 and 197,181 is: 299,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,834 : 197,181 = 197,181 : x
  2. Step 2: Convert to fraction form
    129,834/197,181 = 197,181/x
  3. Step 3: Cross multiply
    129,834x = 197,181 × 197,181
  4. Step 4: Simplify right side
    129,834x = 38,880,346,761
  5. Step 5: Solve for x
    x = 38,880,346,761/129,834
  6. Step 6: Final answer
    x = 299,461.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.