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Finding the Third Proportional to 86,520 and 187,728

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Solution

The third proportional to 86,520 and 187,728 is: 407,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,520 : 187,728 = 187,728 : x
  2. Step 2: Convert to fraction form
    86,520/187,728 = 187,728/x
  3. Step 3: Cross multiply
    86,520x = 187,728 × 187,728
  4. Step 4: Simplify right side
    86,520x = 35,241,801,984
  5. Step 5: Solve for x
    x = 35,241,801,984/86,520
  6. Step 6: Final answer
    x = 407,325.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.