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Finding the Third Proportional to 94,561 and 201,638

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Solution

The third proportional to 94,561 and 201,638 is: 429,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,561 : 201,638 = 201,638 : x
  2. Step 2: Convert to fraction form
    94,561/201,638 = 201,638/x
  3. Step 3: Cross multiply
    94,561x = 201,638 × 201,638
  4. Step 4: Simplify right side
    94,561x = 40,657,883,044
  5. Step 5: Solve for x
    x = 40,657,883,044/94,561
  6. Step 6: Final answer
    x = 429,964.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.