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Finding the Third Proportional to 108,465 and 225,131

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Solution

The third proportional to 108,465 and 225,131 is: 467,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,465 : 225,131 = 225,131 : x
  2. Step 2: Convert to fraction form
    108,465/225,131 = 225,131/x
  3. Step 3: Cross multiply
    108,465x = 225,131 × 225,131
  4. Step 4: Simplify right side
    108,465x = 50,683,967,161
  5. Step 5: Solve for x
    x = 50,683,967,161/108,465
  6. Step 6: Final answer
    x = 467,284.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.