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Finding the Third Proportional to 85,234 and 186,020

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Solution

The third proportional to 85,234 and 186,020 is: 405,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,234 : 186,020 = 186,020 : x
  2. Step 2: Convert to fraction form
    85,234/186,020 = 186,020/x
  3. Step 3: Cross multiply
    85,234x = 186,020 × 186,020
  4. Step 4: Simplify right side
    85,234x = 34,603,440,400
  5. Step 5: Solve for x
    x = 34,603,440,400/85,234
  6. Step 6: Final answer
    x = 405,981.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.