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Finding the Third Proportional to 46,839 and 83,283

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Solution

The third proportional to 46,839 and 83,283 is: 148,082.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,839 : 83,283 = 83,283 : x
  2. Step 2: Convert to fraction form
    46,839/83,283 = 83,283/x
  3. Step 3: Cross multiply
    46,839x = 83,283 × 83,283
  4. Step 4: Simplify right side
    46,839x = 6,936,058,089
  5. Step 5: Solve for x
    x = 6,936,058,089/46,839
  6. Step 6: Final answer
    x = 148,082.97

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.