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Finding the Third Proportional to 104,220 and 225,072

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Solution

The third proportional to 104,220 and 225,072 is: 486,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,220 : 225,072 = 225,072 : x
  2. Step 2: Convert to fraction form
    104,220/225,072 = 225,072/x
  3. Step 3: Cross multiply
    104,220x = 225,072 × 225,072
  4. Step 4: Simplify right side
    104,220x = 50,657,405,184
  5. Step 5: Solve for x
    x = 50,657,405,184/104,220
  6. Step 6: Final answer
    x = 486,062.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.