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Finding the Third Proportional to 40,006 and 86,168

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Solution

The third proportional to 40,006 and 86,168 is: 185,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,006 : 86,168 = 86,168 : x
  2. Step 2: Convert to fraction form
    40,006/86,168 = 86,168/x
  3. Step 3: Cross multiply
    40,006x = 86,168 × 86,168
  4. Step 4: Simplify right side
    40,006x = 7,424,924,224
  5. Step 5: Solve for x
    x = 7,424,924,224/40,006
  6. Step 6: Final answer
    x = 185,595.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.