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Finding the Third Proportional to 129,104 and 278,602

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Solution

The third proportional to 129,104 and 278,602 is: 601,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,104 : 278,602 = 278,602 : x
  2. Step 2: Convert to fraction form
    129,104/278,602 = 278,602/x
  3. Step 3: Cross multiply
    129,104x = 278,602 × 278,602
  4. Step 4: Simplify right side
    129,104x = 77,619,074,404
  5. Step 5: Solve for x
    x = 77,619,074,404/129,104
  6. Step 6: Final answer
    x = 601,213.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.