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Finding the Third Proportional to 89,745 and 195,789

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Solution

The third proportional to 89,745 and 195,789 is: 427,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,745 : 195,789 = 195,789 : x
  2. Step 2: Convert to fraction form
    89,745/195,789 = 195,789/x
  3. Step 3: Cross multiply
    89,745x = 195,789 × 195,789
  4. Step 4: Simplify right side
    89,745x = 38,333,332,521
  5. Step 5: Solve for x
    x = 38,333,332,521/89,745
  6. Step 6: Final answer
    x = 427,136.14

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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.