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Finding the Third Proportional to 34,125.75 and 74,445.75

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Solution

The third proportional to 34,125.75 and 74,445.75 is: 162,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,125.75 : 74,445.75 = 74,445.75 : x
  2. Step 2: Convert to fraction form
    34,125.75/74,445.75 = 74,445.75/x
  3. Step 3: Cross multiply
    34,125.75x = 74,445.75 × 74,445.75
  4. Step 4: Simplify right side
    34,125.75x = 5,542,169,693.06
  5. Step 5: Solve for x
    x = 5,542,169,693.06/34,125.75
  6. Step 6: Final answer
    x = 162,404.33

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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.