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Finding the Third Proportional to 40,083 and 85,533

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Solution

The third proportional to 40,083 and 85,533 is: 182,518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,083 : 85,533 = 85,533 : x
  2. Step 2: Convert to fraction form
    40,083/85,533 = 85,533/x
  3. Step 3: Cross multiply
    40,083x = 85,533 × 85,533
  4. Step 4: Simplify right side
    40,083x = 7,315,894,089
  5. Step 5: Solve for x
    x = 7,315,894,089/40,083
  6. Step 6: Final answer
    x = 182,518.63

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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.