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Finding the Third Proportional to 65,472 and 145,452

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Solution

The third proportional to 65,472 and 145,452 is: 323,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,472 : 145,452 = 145,452 : x
  2. Step 2: Convert to fraction form
    65,472/145,452 = 145,452/x
  3. Step 3: Cross multiply
    65,472x = 145,452 × 145,452
  4. Step 4: Simplify right side
    65,472x = 21,156,284,304
  5. Step 5: Solve for x
    x = 21,156,284,304/65,472
  6. Step 6: Final answer
    x = 323,134.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.