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Finding the Third Proportional to 65,622 and 140,580

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Solution

The third proportional to 65,622 and 140,580 is: 301,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,622 : 140,580 = 140,580 : x
  2. Step 2: Convert to fraction form
    65,622/140,580 = 140,580/x
  3. Step 3: Cross multiply
    65,622x = 140,580 × 140,580
  4. Step 4: Simplify right side
    65,622x = 19,762,736,400
  5. Step 5: Solve for x
    x = 19,762,736,400/65,622
  6. Step 6: Final answer
    x = 301,160.23

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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.