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Finding the Third Proportional to 66,791.50 and 93,383

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Solution

The third proportional to 66,791.50 and 93,383 is: 130,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,791.50 : 93,383 = 93,383 : x
  2. Step 2: Convert to fraction form
    66,791.50/93,383 = 93,383/x
  3. Step 3: Cross multiply
    66,791.50x = 93,383 × 93,383
  4. Step 4: Simplify right side
    66,791.50x = 8,720,384,689
  5. Step 5: Solve for x
    x = 8,720,384,689/66,791.50
  6. Step 6: Final answer
    x = 130,561.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.