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Finding the Third Proportional to 40,245 and 85,688

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Solution

The third proportional to 40,245 and 85,688 is: 182,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,245 : 85,688 = 85,688 : x
  2. Step 2: Convert to fraction form
    40,245/85,688 = 85,688/x
  3. Step 3: Cross multiply
    40,245x = 85,688 × 85,688
  4. Step 4: Simplify right side
    40,245x = 7,342,433,344
  5. Step 5: Solve for x
    x = 7,342,433,344/40,245
  6. Step 6: Final answer
    x = 182,443.37

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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.