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Finding the Third Proportional to 95,202 and 225,549.75

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Solution

The third proportional to 95,202 and 225,549.75 is: 534,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,202 : 225,549.75 = 225,549.75 : x
  2. Step 2: Convert to fraction form
    95,202/225,549.75 = 225,549.75/x
  3. Step 3: Cross multiply
    95,202x = 225,549.75 × 225,549.75
  4. Step 4: Simplify right side
    95,202x = 50,872,689,725.06
  5. Step 5: Solve for x
    x = 50,872,689,725.06/95,202
  6. Step 6: Final answer
    x = 534,365.77

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.