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Finding the Third Proportional to 129,906 and 195,714

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Solution

The third proportional to 129,906 and 195,714 is: 294,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,906 : 195,714 = 195,714 : x
  2. Step 2: Convert to fraction form
    129,906/195,714 = 195,714/x
  3. Step 3: Cross multiply
    129,906x = 195,714 × 195,714
  4. Step 4: Simplify right side
    129,906x = 38,303,969,796
  5. Step 5: Solve for x
    x = 38,303,969,796/129,906
  6. Step 6: Final answer
    x = 294,859.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.