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Finding the Third Proportional to 36,152 and 84,460

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Solution

The third proportional to 36,152 and 84,460 is: 197,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,152 : 84,460 = 84,460 : x
  2. Step 2: Convert to fraction form
    36,152/84,460 = 84,460/x
  3. Step 3: Cross multiply
    36,152x = 84,460 × 84,460
  4. Step 4: Simplify right side
    36,152x = 7,133,491,600
  5. Step 5: Solve for x
    x = 7,133,491,600/36,152
  6. Step 6: Final answer
    x = 197,319.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.