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Finding the Third Proportional to 105,174 and 225,125.50

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Solution

The third proportional to 105,174 and 225,125.50 is: 481,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,174 : 225,125.50 = 225,125.50 : x
  2. Step 2: Convert to fraction form
    105,174/225,125.50 = 225,125.50/x
  3. Step 3: Cross multiply
    105,174x = 225,125.50 × 225,125.50
  4. Step 4: Simplify right side
    105,174x = 50,681,490,750.25
  5. Step 5: Solve for x
    x = 50,681,490,750.25/105,174
  6. Step 6: Final answer
    x = 481,882.32

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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.