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Finding the Third Proportional to 39,309 and 82,263

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Solution

The third proportional to 39,309 and 82,263 is: 172,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,309 : 82,263 = 82,263 : x
  2. Step 2: Convert to fraction form
    39,309/82,263 = 82,263/x
  3. Step 3: Cross multiply
    39,309x = 82,263 × 82,263
  4. Step 4: Simplify right side
    39,309x = 6,767,201,169
  5. Step 5: Solve for x
    x = 6,767,201,169/39,309
  6. Step 6: Final answer
    x = 172,153.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.