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Finding the Third Proportional to 39,303 and 80,426

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Solution

The third proportional to 39,303 and 80,426 is: 164,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,303 : 80,426 = 80,426 : x
  2. Step 2: Convert to fraction form
    39,303/80,426 = 80,426/x
  3. Step 3: Cross multiply
    39,303x = 80,426 × 80,426
  4. Step 4: Simplify right side
    39,303x = 6,468,341,476
  5. Step 5: Solve for x
    x = 6,468,341,476/39,303
  6. Step 6: Final answer
    x = 164,576.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.