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Finding the Third Proportional to 102,168 and 216,620

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Solution

The third proportional to 102,168 and 216,620 is: 459,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,168 : 216,620 = 216,620 : x
  2. Step 2: Convert to fraction form
    102,168/216,620 = 216,620/x
  3. Step 3: Cross multiply
    102,168x = 216,620 × 216,620
  4. Step 4: Simplify right side
    102,168x = 46,924,224,400
  5. Step 5: Solve for x
    x = 46,924,224,400/102,168
  6. Step 6: Final answer
    x = 459,284.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.