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Finding the Third Proportional to 62,269.88 and 133,400.25

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Solution

The third proportional to 62,269.88 and 133,400.25 is: 285,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,269.88 : 133,400.25 = 133,400.25 : x
  2. Step 2: Convert to fraction form
    62,269.88/133,400.25 = 133,400.25/x
  3. Step 3: Cross multiply
    62,269.88x = 133,400.25 × 133,400.25
  4. Step 4: Simplify right side
    62,269.88x = 17,795,626,700.06
  5. Step 5: Solve for x
    x = 17,795,626,700.06/62,269.88
  6. Step 6: Final answer
    x = 285,782.28

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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.