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Finding the Third Proportional to 73,767 and 160,023

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Solution

The third proportional to 73,767 and 160,023 is: 347,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,767 : 160,023 = 160,023 : x
  2. Step 2: Convert to fraction form
    73,767/160,023 = 160,023/x
  3. Step 3: Cross multiply
    73,767x = 160,023 × 160,023
  4. Step 4: Simplify right side
    73,767x = 25,607,360,529
  5. Step 5: Solve for x
    x = 25,607,360,529/73,767
  6. Step 6: Final answer
    x = 347,138.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.