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Finding the Third Proportional to 40,228 and 85,798

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Solution

The third proportional to 40,228 and 85,798 is: 182,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,228 : 85,798 = 85,798 : x
  2. Step 2: Convert to fraction form
    40,228/85,798 = 85,798/x
  3. Step 3: Cross multiply
    40,228x = 85,798 × 85,798
  4. Step 4: Simplify right side
    40,228x = 7,361,296,804
  5. Step 5: Solve for x
    x = 7,361,296,804/40,228
  6. Step 6: Final answer
    x = 182,989.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.