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Finding the Third Proportional to 105,153 and 225,066

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Solution

The third proportional to 105,153 and 225,066 is: 481,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,153 : 225,066 = 225,066 : x
  2. Step 2: Convert to fraction form
    105,153/225,066 = 225,066/x
  3. Step 3: Cross multiply
    105,153x = 225,066 × 225,066
  4. Step 4: Simplify right side
    105,153x = 50,654,704,356
  5. Step 5: Solve for x
    x = 50,654,704,356/105,153
  6. Step 6: Final answer
    x = 481,723.82

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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.