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Finding the Third Proportional to 39,652 and 83,196

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Solution

The third proportional to 39,652 and 83,196 is: 174,558.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,652 : 83,196 = 83,196 : x
  2. Step 2: Convert to fraction form
    39,652/83,196 = 83,196/x
  3. Step 3: Cross multiply
    39,652x = 83,196 × 83,196
  4. Step 4: Simplify right side
    39,652x = 6,921,574,416
  5. Step 5: Solve for x
    x = 6,921,574,416/39,652
  6. Step 6: Final answer
    x = 174,558.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.