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Finding the Third Proportional to 62,028 and 129,304

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Solution

The third proportional to 62,028 and 129,304 is: 269,548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,028 : 129,304 = 129,304 : x
  2. Step 2: Convert to fraction form
    62,028/129,304 = 129,304/x
  3. Step 3: Cross multiply
    62,028x = 129,304 × 129,304
  4. Step 4: Simplify right side
    62,028x = 16,719,524,416
  5. Step 5: Solve for x
    x = 16,719,524,416/62,028
  6. Step 6: Final answer
    x = 269,548.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.