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Finding the Third Proportional to 61,583 and 131,590

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Solution

The third proportional to 61,583 and 131,590 is: 281,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,583 : 131,590 = 131,590 : x
  2. Step 2: Convert to fraction form
    61,583/131,590 = 131,590/x
  3. Step 3: Cross multiply
    61,583x = 131,590 × 131,590
  4. Step 4: Simplify right side
    61,583x = 17,315,928,100
  5. Step 5: Solve for x
    x = 17,315,928,100/61,583
  6. Step 6: Final answer
    x = 281,180.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.