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Finding the Third Proportional to 28,184 and 60,272

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Solution

The third proportional to 28,184 and 60,272 is: 128,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,184 : 60,272 = 60,272 : x
  2. Step 2: Convert to fraction form
    28,184/60,272 = 60,272/x
  3. Step 3: Cross multiply
    28,184x = 60,272 × 60,272
  4. Step 4: Simplify right side
    28,184x = 3,632,713,984
  5. Step 5: Solve for x
    x = 3,632,713,984/28,184
  6. Step 6: Final answer
    x = 128,892.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.