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Finding the Third Proportional to 82,322 and 124,635

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Solution

The third proportional to 82,322 and 124,635 is: 188,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,322 : 124,635 = 124,635 : x
  2. Step 2: Convert to fraction form
    82,322/124,635 = 124,635/x
  3. Step 3: Cross multiply
    82,322x = 124,635 × 124,635
  4. Step 4: Simplify right side
    82,322x = 15,533,883,225
  5. Step 5: Solve for x
    x = 15,533,883,225/82,322
  6. Step 6: Final answer
    x = 188,696.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.