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Finding the Third Proportional to 89,080 and 192,704

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Solution

The third proportional to 89,080 and 192,704 is: 416,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,080 : 192,704 = 192,704 : x
  2. Step 2: Convert to fraction form
    89,080/192,704 = 192,704/x
  3. Step 3: Cross multiply
    89,080x = 192,704 × 192,704
  4. Step 4: Simplify right side
    89,080x = 37,134,831,616
  5. Step 5: Solve for x
    x = 37,134,831,616/89,080
  6. Step 6: Final answer
    x = 416,870.58

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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.