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Finding the Third Proportional to 88,790 and 192,160

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Solution

The third proportional to 88,790 and 192,160 is: 415,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,790 : 192,160 = 192,160 : x
  2. Step 2: Convert to fraction form
    88,790/192,160 = 192,160/x
  3. Step 3: Cross multiply
    88,790x = 192,160 × 192,160
  4. Step 4: Simplify right side
    88,790x = 36,925,465,600
  5. Step 5: Solve for x
    x = 36,925,465,600/88,790
  6. Step 6: Final answer
    x = 415,874.15

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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.