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Finding the Third Proportional to 73,854 and 162,470

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Solution

The third proportional to 73,854 and 162,470 is: 357,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,854 : 162,470 = 162,470 : x
  2. Step 2: Convert to fraction form
    73,854/162,470 = 162,470/x
  3. Step 3: Cross multiply
    73,854x = 162,470 × 162,470
  4. Step 4: Simplify right side
    73,854x = 26,396,500,900
  5. Step 5: Solve for x
    x = 26,396,500,900/73,854
  6. Step 6: Final answer
    x = 357,414.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.