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Finding the Third Proportional to 74,877.75 and 162,874.97

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Solution

The third proportional to 74,877.75 and 162,874.97 is: 354,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,877.75 : 162,874.97 = 162,874.97 : x
  2. Step 2: Convert to fraction form
    74,877.75/162,874.97 = 162,874.97/x
  3. Step 3: Cross multiply
    74,877.75x = 162,874.97 × 162,874.97
  4. Step 4: Simplify right side
    74,877.75x = 26,528,255,445.31
  5. Step 5: Solve for x
    x = 26,528,255,445.31/74,877.75
  6. Step 6: Final answer
    x = 354,287.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.