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Finding the Third Proportional to 85,824 and 124,296

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Solution

The third proportional to 85,824 and 124,296 is: 180,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,824 : 124,296 = 124,296 : x
  2. Step 2: Convert to fraction form
    85,824/124,296 = 124,296/x
  3. Step 3: Cross multiply
    85,824x = 124,296 × 124,296
  4. Step 4: Simplify right side
    85,824x = 15,449,495,616
  5. Step 5: Solve for x
    x = 15,449,495,616/85,824
  6. Step 6: Final answer
    x = 180,013.70

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.