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Finding the Third Proportional to 65,627 and 140,590

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Solution

The third proportional to 65,627 and 140,590 is: 301,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,627 : 140,590 = 140,590 : x
  2. Step 2: Convert to fraction form
    65,627/140,590 = 140,590/x
  3. Step 3: Cross multiply
    65,627x = 140,590 × 140,590
  4. Step 4: Simplify right side
    65,627x = 19,765,548,100
  5. Step 5: Solve for x
    x = 19,765,548,100/65,627
  6. Step 6: Final answer
    x = 301,180.13

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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.