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Finding the Third Proportional to 86,685 and 179,184

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Solution

The third proportional to 86,685 and 179,184 is: 370,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,685 : 179,184 = 179,184 : x
  2. Step 2: Convert to fraction form
    86,685/179,184 = 179,184/x
  3. Step 3: Cross multiply
    86,685x = 179,184 × 179,184
  4. Step 4: Simplify right side
    86,685x = 32,106,905,856
  5. Step 5: Solve for x
    x = 32,106,905,856/86,685
  6. Step 6: Final answer
    x = 370,385.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.