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Finding the Third Proportional to 62,084 and 134,008

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Solution

The third proportional to 62,084 and 134,008 is: 289,255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,084 : 134,008 = 134,008 : x
  2. Step 2: Convert to fraction form
    62,084/134,008 = 134,008/x
  3. Step 3: Cross multiply
    62,084x = 134,008 × 134,008
  4. Step 4: Simplify right side
    62,084x = 17,958,144,064
  5. Step 5: Solve for x
    x = 17,958,144,064/62,084
  6. Step 6: Final answer
    x = 289,255.59

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