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Finding the Third Proportional to 39,368 and 83,184

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Solution

The third proportional to 39,368 and 83,184 is: 175,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,368 : 83,184 = 83,184 : x
  2. Step 2: Convert to fraction form
    39,368/83,184 = 83,184/x
  3. Step 3: Cross multiply
    39,368x = 83,184 × 83,184
  4. Step 4: Simplify right side
    39,368x = 6,919,577,856
  5. Step 5: Solve for x
    x = 6,919,577,856/39,368
  6. Step 6: Final answer
    x = 175,766.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.