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Finding the Third Proportional to 75,609.75 and 114,021.75

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Solution

The third proportional to 75,609.75 and 114,021.75 is: 171,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,609.75 : 114,021.75 = 114,021.75 : x
  2. Step 2: Convert to fraction form
    75,609.75/114,021.75 = 114,021.75/x
  3. Step 3: Cross multiply
    75,609.75x = 114,021.75 × 114,021.75
  4. Step 4: Simplify right side
    75,609.75x = 13,000,959,473.06
  5. Step 5: Solve for x
    x = 13,000,959,473.06/75,609.75
  6. Step 6: Final answer
    x = 171,948.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.