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Finding the Third Proportional to 86,630 and 186,652

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Solution

The third proportional to 86,630 and 186,652 is: 402,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,630 : 186,652 = 186,652 : x
  2. Step 2: Convert to fraction form
    86,630/186,652 = 186,652/x
  3. Step 3: Cross multiply
    86,630x = 186,652 × 186,652
  4. Step 4: Simplify right side
    86,630x = 34,838,969,104
  5. Step 5: Solve for x
    x = 34,838,969,104/86,630
  6. Step 6: Final answer
    x = 402,158.25

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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.