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Finding the Third Proportional to 117,583 and 167,554

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Solution

The third proportional to 117,583 and 167,554 is: 238,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,583 : 167,554 = 167,554 : x
  2. Step 2: Convert to fraction form
    117,583/167,554 = 167,554/x
  3. Step 3: Cross multiply
    117,583x = 167,554 × 167,554
  4. Step 4: Simplify right side
    117,583x = 28,074,342,916
  5. Step 5: Solve for x
    x = 28,074,342,916/117,583
  6. Step 6: Final answer
    x = 238,761.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.