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Finding the Third Proportional to 89,712 and 195,138

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Solution

The third proportional to 89,712 and 195,138 is: 424,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,712 : 195,138 = 195,138 : x
  2. Step 2: Convert to fraction form
    89,712/195,138 = 195,138/x
  3. Step 3: Cross multiply
    89,712x = 195,138 × 195,138
  4. Step 4: Simplify right side
    89,712x = 38,078,839,044
  5. Step 5: Solve for x
    x = 38,078,839,044/89,712
  6. Step 6: Final answer
    x = 424,456.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.