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Finding the Third Proportional to 105,294 and 225,060

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Solution

The third proportional to 105,294 and 225,060 is: 481,053.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,294 : 225,060 = 225,060 : x
  2. Step 2: Convert to fraction form
    105,294/225,060 = 225,060/x
  3. Step 3: Cross multiply
    105,294x = 225,060 × 225,060
  4. Step 4: Simplify right side
    105,294x = 50,652,003,600
  5. Step 5: Solve for x
    x = 50,652,003,600/105,294
  6. Step 6: Final answer
    x = 481,053.09

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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.