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Finding the Third Proportional to 40,502 and 85,405

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Solution

The third proportional to 40,502 and 85,405 is: 180,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,502 : 85,405 = 85,405 : x
  2. Step 2: Convert to fraction form
    40,502/85,405 = 85,405/x
  3. Step 3: Cross multiply
    40,502x = 85,405 × 85,405
  4. Step 4: Simplify right side
    40,502x = 7,294,014,025
  5. Step 5: Solve for x
    x = 7,294,014,025/40,502
  6. Step 6: Final answer
    x = 180,090.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.