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Finding the Third Proportional to 65,576 and 140,710

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Solution

The third proportional to 65,576 and 140,710 is: 301,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,576 : 140,710 = 140,710 : x
  2. Step 2: Convert to fraction form
    65,576/140,710 = 140,710/x
  3. Step 3: Cross multiply
    65,576x = 140,710 × 140,710
  4. Step 4: Simplify right side
    65,576x = 19,799,304,100
  5. Step 5: Solve for x
    x = 19,799,304,100/65,576
  6. Step 6: Final answer
    x = 301,929.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.