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Finding the Third Proportional to 95,063 and 150,515

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Solution

The third proportional to 95,063 and 150,515 is: 238,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,063 : 150,515 = 150,515 : x
  2. Step 2: Convert to fraction form
    95,063/150,515 = 150,515/x
  3. Step 3: Cross multiply
    95,063x = 150,515 × 150,515
  4. Step 4: Simplify right side
    95,063x = 22,654,765,225
  5. Step 5: Solve for x
    x = 22,654,765,225/95,063
  6. Step 6: Final answer
    x = 238,313.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.