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Finding the Third Proportional to 102,682 and 150,465

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Solution

The third proportional to 102,682 and 150,465 is: 220,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,682 : 150,465 = 150,465 : x
  2. Step 2: Convert to fraction form
    102,682/150,465 = 150,465/x
  3. Step 3: Cross multiply
    102,682x = 150,465 × 150,465
  4. Step 4: Simplify right side
    102,682x = 22,639,716,225
  5. Step 5: Solve for x
    x = 22,639,716,225/102,682
  6. Step 6: Final answer
    x = 220,483.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.