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Finding the Third Proportional to 62,931 and 133,152

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Solution

The third proportional to 62,931 and 133,152 is: 281,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,931 : 133,152 = 133,152 : x
  2. Step 2: Convert to fraction form
    62,931/133,152 = 133,152/x
  3. Step 3: Cross multiply
    62,931x = 133,152 × 133,152
  4. Step 4: Simplify right side
    62,931x = 17,729,455,104
  5. Step 5: Solve for x
    x = 17,729,455,104/62,931
  6. Step 6: Final answer
    x = 281,728.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.