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Finding the Third Proportional to 92,080 and 201,728

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Solution

The third proportional to 92,080 and 201,728 is: 441,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,080 : 201,728 = 201,728 : x
  2. Step 2: Convert to fraction form
    92,080/201,728 = 201,728/x
  3. Step 3: Cross multiply
    92,080x = 201,728 × 201,728
  4. Step 4: Simplify right side
    92,080x = 40,694,185,984
  5. Step 5: Solve for x
    x = 40,694,185,984/92,080
  6. Step 6: Final answer
    x = 441,943.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.