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Finding the Third Proportional to 129,345 and 194,184

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Solution

The third proportional to 129,345 and 194,184 is: 291,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,345 : 194,184 = 194,184 : x
  2. Step 2: Convert to fraction form
    129,345/194,184 = 194,184/x
  3. Step 3: Cross multiply
    129,345x = 194,184 × 194,184
  4. Step 4: Simplify right side
    129,345x = 37,707,425,856
  5. Step 5: Solve for x
    x = 37,707,425,856/129,345
  6. Step 6: Final answer
    x = 291,525.96

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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.