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Finding the Third Proportional to 75,569.25 and 158,892.75

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Solution

The third proportional to 75,569.25 and 158,892.75 is: 334,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,569.25 : 158,892.75 = 158,892.75 : x
  2. Step 2: Convert to fraction form
    75,569.25/158,892.75 = 158,892.75/x
  3. Step 3: Cross multiply
    75,569.25x = 158,892.75 × 158,892.75
  4. Step 4: Simplify right side
    75,569.25x = 25,246,906,002.56
  5. Step 5: Solve for x
    x = 25,246,906,002.56/75,569.25
  6. Step 6: Final answer
    x = 334,089.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.