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Finding the Third Proportional to 129,607.59 and 268,207.03

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Solution

The third proportional to 129,607.59 and 268,207.03 is: 555,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,607.59 : 268,207.03 = 268,207.03 : x
  2. Step 2: Convert to fraction form
    129,607.59/268,207.03 = 268,207.03/x
  3. Step 3: Cross multiply
    129,607.59x = 268,207.03 × 268,207.03
  4. Step 4: Simplify right side
    129,607.59x = 71,935,011,611.94
  5. Step 5: Solve for x
    x = 71,935,011,611.94/129,607.59
  6. Step 6: Final answer
    x = 555,021.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.