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Finding the Third Proportional to 124,228 and 186,918

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Solution

The third proportional to 124,228 and 186,918 is: 281,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,228 : 186,918 = 186,918 : x
  2. Step 2: Convert to fraction form
    124,228/186,918 = 186,918/x
  3. Step 3: Cross multiply
    124,228x = 186,918 × 186,918
  4. Step 4: Simplify right side
    124,228x = 34,938,338,724
  5. Step 5: Solve for x
    x = 34,938,338,724/124,228
  6. Step 6: Final answer
    x = 281,243.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.