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Finding the Third Proportional to 39,868 and 83,868

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Solution

The third proportional to 39,868 and 83,868 is: 176,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,868 : 83,868 = 83,868 : x
  2. Step 2: Convert to fraction form
    39,868/83,868 = 83,868/x
  3. Step 3: Cross multiply
    39,868x = 83,868 × 83,868
  4. Step 4: Simplify right side
    39,868x = 7,033,841,424
  5. Step 5: Solve for x
    x = 7,033,841,424/39,868
  6. Step 6: Final answer
    x = 176,428.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.