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Finding the Third Proportional to 62,107.75 and 134,057

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Solution

The third proportional to 62,107.75 and 134,057 is: 289,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,107.75 : 134,057 = 134,057 : x
  2. Step 2: Convert to fraction form
    62,107.75/134,057 = 134,057/x
  3. Step 3: Cross multiply
    62,107.75x = 134,057 × 134,057
  4. Step 4: Simplify right side
    62,107.75x = 17,971,279,249
  5. Step 5: Solve for x
    x = 17,971,279,249/62,107.75
  6. Step 6: Final answer
    x = 289,356.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.