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Finding the Third Proportional to 89,085 and 192,095

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Solution

The third proportional to 89,085 and 192,095 is: 414,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,085 : 192,095 = 192,095 : x
  2. Step 2: Convert to fraction form
    89,085/192,095 = 192,095/x
  3. Step 3: Cross multiply
    89,085x = 192,095 × 192,095
  4. Step 4: Simplify right side
    89,085x = 36,900,489,025
  5. Step 5: Solve for x
    x = 36,900,489,025/89,085
  6. Step 6: Final answer
    x = 414,216.64

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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.