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Finding the Third Proportional to 36,133 and 77,287

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Solution

The third proportional to 36,133 and 77,287 is: 165,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,133 : 77,287 = 77,287 : x
  2. Step 2: Convert to fraction form
    36,133/77,287 = 77,287/x
  3. Step 3: Cross multiply
    36,133x = 77,287 × 77,287
  4. Step 4: Simplify right side
    36,133x = 5,973,280,369
  5. Step 5: Solve for x
    x = 5,973,280,369/36,133
  6. Step 6: Final answer
    x = 165,313.71

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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.