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Finding the Third Proportional to 74,916.75 and 163,638.75

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Solution

The third proportional to 74,916.75 and 163,638.75 is: 357,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,916.75 : 163,638.75 = 163,638.75 : x
  2. Step 2: Convert to fraction form
    74,916.75/163,638.75 = 163,638.75/x
  3. Step 3: Cross multiply
    74,916.75x = 163,638.75 × 163,638.75
  4. Step 4: Simplify right side
    74,916.75x = 26,777,640,501.56
  5. Step 5: Solve for x
    x = 26,777,640,501.56/74,916.75
  6. Step 6: Final answer
    x = 357,431.96

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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.