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Finding the Third Proportional to 75,732 and 159,303

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Solution

The third proportional to 75,732 and 159,303 is: 335,095.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,732 : 159,303 = 159,303 : x
  2. Step 2: Convert to fraction form
    75,732/159,303 = 159,303/x
  3. Step 3: Cross multiply
    75,732x = 159,303 × 159,303
  4. Step 4: Simplify right side
    75,732x = 25,377,445,809
  5. Step 5: Solve for x
    x = 25,377,445,809/75,732
  6. Step 6: Final answer
    x = 335,095.41

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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.