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Finding the Third Proportional to 39,184 and 83,360

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Solution

The third proportional to 39,184 and 83,360 is: 177,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,184 : 83,360 = 83,360 : x
  2. Step 2: Convert to fraction form
    39,184/83,360 = 83,360/x
  3. Step 3: Cross multiply
    39,184x = 83,360 × 83,360
  4. Step 4: Simplify right side
    39,184x = 6,948,889,600
  5. Step 5: Solve for x
    x = 6,948,889,600/39,184
  6. Step 6: Final answer
    x = 177,339.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.