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Finding the Third Proportional to 129,880 and 176,004

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Solution

The third proportional to 129,880 and 176,004 is: 238,507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,880 : 176,004 = 176,004 : x
  2. Step 2: Convert to fraction form
    129,880/176,004 = 176,004/x
  3. Step 3: Cross multiply
    129,880x = 176,004 × 176,004
  4. Step 4: Simplify right side
    129,880x = 30,977,408,016
  5. Step 5: Solve for x
    x = 30,977,408,016/129,880
  6. Step 6: Final answer
    x = 238,507.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.