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Finding the Third Proportional to 85,794 and 129,321

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Solution

The third proportional to 85,794 and 129,321 is: 194,931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,794 : 129,321 = 129,321 : x
  2. Step 2: Convert to fraction form
    85,794/129,321 = 129,321/x
  3. Step 3: Cross multiply
    85,794x = 129,321 × 129,321
  4. Step 4: Simplify right side
    85,794x = 16,723,921,041
  5. Step 5: Solve for x
    x = 16,723,921,041/85,794
  6. Step 6: Final answer
    x = 194,931.13

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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.