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Finding the Third Proportional to 75,023.72 and 133,409.53

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Solution

The third proportional to 75,023.72 and 133,409.53 is: 237,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,023.72 : 133,409.53 = 133,409.53 : x
  2. Step 2: Convert to fraction form
    75,023.72/133,409.53 = 133,409.53/x
  3. Step 3: Cross multiply
    75,023.72x = 133,409.53 × 133,409.53
  4. Step 4: Simplify right side
    75,023.72x = 17,798,103,028.34
  5. Step 5: Solve for x
    x = 17,798,103,028.34/75,023.72
  6. Step 6: Final answer
    x = 237,233.02

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.