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Finding the Third Proportional to 74,269.83 and 162,148.29

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Solution

The third proportional to 74,269.83 and 162,148.29 is: 354,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,269.83 : 162,148.29 = 162,148.29 : x
  2. Step 2: Convert to fraction form
    74,269.83/162,148.29 = 162,148.29/x
  3. Step 3: Cross multiply
    74,269.83x = 162,148.29 × 162,148.29
  4. Step 4: Simplify right side
    74,269.83x = 26,292,067,645.90
  5. Step 5: Solve for x
    x = 26,292,067,645.90/74,269.83
  6. Step 6: Final answer
    x = 354,007.39

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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.