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Finding the Third Proportional to 39,243 and 85,002

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Solution

The third proportional to 39,243 and 85,002 is: 184,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,243 : 85,002 = 85,002 : x
  2. Step 2: Convert to fraction form
    39,243/85,002 = 85,002/x
  3. Step 3: Cross multiply
    39,243x = 85,002 × 85,002
  4. Step 4: Simplify right side
    39,243x = 7,225,340,004
  5. Step 5: Solve for x
    x = 7,225,340,004/39,243
  6. Step 6: Final answer
    x = 184,117.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.