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Finding the Third Proportional to 118,202 and 253,012

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Solution

The third proportional to 118,202 and 253,012 is: 541,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,202 : 253,012 = 253,012 : x
  2. Step 2: Convert to fraction form
    118,202/253,012 = 253,012/x
  3. Step 3: Cross multiply
    118,202x = 253,012 × 253,012
  4. Step 4: Simplify right side
    118,202x = 64,015,072,144
  5. Step 5: Solve for x
    x = 64,015,072,144/118,202
  6. Step 6: Final answer
    x = 541,573.51

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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.