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Finding the Third Proportional to 75,733.50 and 159,301.50

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Solution

The third proportional to 75,733.50 and 159,301.50 is: 335,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,733.50 : 159,301.50 = 159,301.50 : x
  2. Step 2: Convert to fraction form
    75,733.50/159,301.50 = 159,301.50/x
  3. Step 3: Cross multiply
    75,733.50x = 159,301.50 × 159,301.50
  4. Step 4: Simplify right side
    75,733.50x = 25,376,967,902.25
  5. Step 5: Solve for x
    x = 25,376,967,902.25/75,733.50
  6. Step 6: Final answer
    x = 335,082.47

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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.