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Finding the Third Proportional to 86,650 and 187,515

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Solution

The third proportional to 86,650 and 187,515 is: 405,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,650 : 187,515 = 187,515 : x
  2. Step 2: Convert to fraction form
    86,650/187,515 = 187,515/x
  3. Step 3: Cross multiply
    86,650x = 187,515 × 187,515
  4. Step 4: Simplify right side
    86,650x = 35,161,875,225
  5. Step 5: Solve for x
    x = 35,161,875,225/86,650
  6. Step 6: Final answer
    x = 405,791.98

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Why These Related Problems?

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