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Finding the Third Proportional to 103,085 and 225,853

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Solution

The third proportional to 103,085 and 225,853 is: 494,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,085 : 225,853 = 225,853 : x
  2. Step 2: Convert to fraction form
    103,085/225,853 = 225,853/x
  3. Step 3: Cross multiply
    103,085x = 225,853 × 225,853
  4. Step 4: Simplify right side
    103,085x = 51,009,577,609
  5. Step 5: Solve for x
    x = 51,009,577,609/103,085
  6. Step 6: Final answer
    x = 494,830.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.