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Finding the Third Proportional to 91,661 and 192,547

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Solution

The third proportional to 91,661 and 192,547 is: 404,472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,661 : 192,547 = 192,547 : x
  2. Step 2: Convert to fraction form
    91,661/192,547 = 192,547/x
  3. Step 3: Cross multiply
    91,661x = 192,547 × 192,547
  4. Step 4: Simplify right side
    91,661x = 37,074,347,209
  5. Step 5: Solve for x
    x = 37,074,347,209/91,661
  6. Step 6: Final answer
    x = 404,472.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.