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Finding the Third Proportional to 34,078.15 and 74,924.19

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Solution

The third proportional to 34,078.15 and 74,924.19 is: 164,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,078.15 : 74,924.19 = 74,924.19 : x
  2. Step 2: Convert to fraction form
    34,078.15/74,924.19 = 74,924.19/x
  3. Step 3: Cross multiply
    34,078.15x = 74,924.19 × 74,924.19
  4. Step 4: Simplify right side
    34,078.15x = 5,613,634,457.88
  5. Step 5: Solve for x
    x = 5,613,634,457.88/34,078.15
  6. Step 6: Final answer
    x = 164,728.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.