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Finding the Third Proportional to 63,238 and 133,442

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Solution

The third proportional to 63,238 and 133,442 is: 281,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,238 : 133,442 = 133,442 : x
  2. Step 2: Convert to fraction form
    63,238/133,442 = 133,442/x
  3. Step 3: Cross multiply
    63,238x = 133,442 × 133,442
  4. Step 4: Simplify right side
    63,238x = 17,806,767,364
  5. Step 5: Solve for x
    x = 17,806,767,364/63,238
  6. Step 6: Final answer
    x = 281,583.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.