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Finding the Third Proportional to 129,270 and 186,184

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Solution

The third proportional to 129,270 and 186,184 is: 268,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,270 : 186,184 = 186,184 : x
  2. Step 2: Convert to fraction form
    129,270/186,184 = 186,184/x
  3. Step 3: Cross multiply
    129,270x = 186,184 × 186,184
  4. Step 4: Simplify right side
    129,270x = 34,664,481,856
  5. Step 5: Solve for x
    x = 34,664,481,856/129,270
  6. Step 6: Final answer
    x = 268,155.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.