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Finding the Third Proportional to 74,826 and 162,783

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Solution

The third proportional to 74,826 and 162,783 is: 354,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,826 : 162,783 = 162,783 : x
  2. Step 2: Convert to fraction form
    74,826/162,783 = 162,783/x
  3. Step 3: Cross multiply
    74,826x = 162,783 × 162,783
  4. Step 4: Simplify right side
    74,826x = 26,498,305,089
  5. Step 5: Solve for x
    x = 26,498,305,089/74,826
  6. Step 6: Final answer
    x = 354,132.32

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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.