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Finding the Third Proportional to 74,641.50 and 162,268.31

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Solution

The third proportional to 74,641.50 and 162,268.31 is: 352,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,641.50 : 162,268.31 = 162,268.31 : x
  2. Step 2: Convert to fraction form
    74,641.50/162,268.31 = 162,268.31/x
  3. Step 3: Cross multiply
    74,641.50x = 162,268.31 × 162,268.31
  4. Step 4: Simplify right side
    74,641.50x = 26,331,005,241.60
  5. Step 5: Solve for x
    x = 26,331,005,241.60/74,641.50
  6. Step 6: Final answer
    x = 352,766.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.