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Finding the Third Proportional to 48,125 and 101,515

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Solution

The third proportional to 48,125 and 101,515 is: 214,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,125 : 101,515 = 101,515 : x
  2. Step 2: Convert to fraction form
    48,125/101,515 = 101,515/x
  3. Step 3: Cross multiply
    48,125x = 101,515 × 101,515
  4. Step 4: Simplify right side
    48,125x = 10,305,295,225
  5. Step 5: Solve for x
    x = 10,305,295,225/48,125
  6. Step 6: Final answer
    x = 214,136.00

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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.