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Finding the Third Proportional to 69,134 and 141,184

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Solution

The third proportional to 69,134 and 141,184 is: 288,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,134 : 141,184 = 141,184 : x
  2. Step 2: Convert to fraction form
    69,134/141,184 = 141,184/x
  3. Step 3: Cross multiply
    69,134x = 141,184 × 141,184
  4. Step 4: Simplify right side
    69,134x = 19,932,921,856
  5. Step 5: Solve for x
    x = 19,932,921,856/69,134
  6. Step 6: Final answer
    x = 288,322.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.