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Finding the Third Proportional to 46,767 and 96,859

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Solution

The third proportional to 46,767 and 96,859 is: 200,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,767 : 96,859 = 96,859 : x
  2. Step 2: Convert to fraction form
    46,767/96,859 = 96,859/x
  3. Step 3: Cross multiply
    46,767x = 96,859 × 96,859
  4. Step 4: Simplify right side
    46,767x = 9,381,665,881
  5. Step 5: Solve for x
    x = 9,381,665,881/46,767
  6. Step 6: Final answer
    x = 200,604.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.