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Finding the Third Proportional to 61,601 and 133,562

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Solution

The third proportional to 61,601 and 133,562 is: 289,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,601 : 133,562 = 133,562 : x
  2. Step 2: Convert to fraction form
    61,601/133,562 = 133,562/x
  3. Step 3: Cross multiply
    61,601x = 133,562 × 133,562
  4. Step 4: Simplify right side
    61,601x = 17,838,807,844
  5. Step 5: Solve for x
    x = 17,838,807,844/61,601
  6. Step 6: Final answer
    x = 289,586.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.