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Finding the Third Proportional to 88,636 and 186,567

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Solution

The third proportional to 88,636 and 186,567 is: 392,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,636 : 186,567 = 186,567 : x
  2. Step 2: Convert to fraction form
    88,636/186,567 = 186,567/x
  3. Step 3: Cross multiply
    88,636x = 186,567 × 186,567
  4. Step 4: Simplify right side
    88,636x = 34,807,245,489
  5. Step 5: Solve for x
    x = 34,807,245,489/88,636
  6. Step 6: Final answer
    x = 392,698.74

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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.