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Finding the Third Proportional to 28,171 and 61,207

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Solution

The third proportional to 28,171 and 61,207 is: 132,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,171 : 61,207 = 61,207 : x
  2. Step 2: Convert to fraction form
    28,171/61,207 = 61,207/x
  3. Step 3: Cross multiply
    28,171x = 61,207 × 61,207
  4. Step 4: Simplify right side
    28,171x = 3,746,296,849
  5. Step 5: Solve for x
    x = 3,746,296,849/28,171
  6. Step 6: Final answer
    x = 132,984.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.