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Finding the Third Proportional to 74,756 and 162,603

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Solution

The third proportional to 74,756 and 162,603 is: 353,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,756 : 162,603 = 162,603 : x
  2. Step 2: Convert to fraction form
    74,756/162,603 = 162,603/x
  3. Step 3: Cross multiply
    74,756x = 162,603 × 162,603
  4. Step 4: Simplify right side
    74,756x = 26,439,735,609
  5. Step 5: Solve for x
    x = 26,439,735,609/74,756
  6. Step 6: Final answer
    x = 353,680.45

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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.