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Finding the Third Proportional to 63,535.43 and 133,623.11

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Solution

The third proportional to 63,535.43 and 133,623.11 is: 281,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,535.43 : 133,623.11 = 133,623.11 : x
  2. Step 2: Convert to fraction form
    63,535.43/133,623.11 = 133,623.11/x
  3. Step 3: Cross multiply
    63,535.43x = 133,623.11 × 133,623.11
  4. Step 4: Simplify right side
    63,535.43x = 17,855,134,315.11
  5. Step 5: Solve for x
    x = 17,855,134,315.11/63,535.43
  6. Step 6: Final answer
    x = 281,026.42

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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.