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Finding the Third Proportional to 63,512 and 134,152

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Solution

The third proportional to 63,512 and 134,152 is: 283,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,512 : 134,152 = 134,152 : x
  2. Step 2: Convert to fraction form
    63,512/134,152 = 134,152/x
  3. Step 3: Cross multiply
    63,512x = 134,152 × 134,152
  4. Step 4: Simplify right side
    63,512x = 17,996,759,104
  5. Step 5: Solve for x
    x = 17,996,759,104/63,512
  6. Step 6: Final answer
    x = 283,359.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.