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Finding the Third Proportional to 89,688 and 192,255

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Solution

The third proportional to 89,688 and 192,255 is: 412,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,688 : 192,255 = 192,255 : x
  2. Step 2: Convert to fraction form
    89,688/192,255 = 192,255/x
  3. Step 3: Cross multiply
    89,688x = 192,255 × 192,255
  4. Step 4: Simplify right side
    89,688x = 36,961,985,025
  5. Step 5: Solve for x
    x = 36,961,985,025/89,688
  6. Step 6: Final answer
    x = 412,117.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.