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Finding the Third Proportional to 85,017 and 186,195

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Solution

The third proportional to 85,017 and 186,195 is: 407,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,017 : 186,195 = 186,195 : x
  2. Step 2: Convert to fraction form
    85,017/186,195 = 186,195/x
  3. Step 3: Cross multiply
    85,017x = 186,195 × 186,195
  4. Step 4: Simplify right side
    85,017x = 34,668,578,025
  5. Step 5: Solve for x
    x = 34,668,578,025/85,017
  6. Step 6: Final answer
    x = 407,784.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.