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Finding the Third Proportional to 74,698 and 160,724

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Solution

The third proportional to 74,698 and 160,724 is: 345,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,698 : 160,724 = 160,724 : x
  2. Step 2: Convert to fraction form
    74,698/160,724 = 160,724/x
  3. Step 3: Cross multiply
    74,698x = 160,724 × 160,724
  4. Step 4: Simplify right side
    74,698x = 25,832,204,176
  5. Step 5: Solve for x
    x = 25,832,204,176/74,698
  6. Step 6: Final answer
    x = 345,821.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.