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Finding the Third Proportional to 110,354 and 171,184

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Solution

The third proportional to 110,354 and 171,184 is: 265,545.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,354 : 171,184 = 171,184 : x
  2. Step 2: Convert to fraction form
    110,354/171,184 = 171,184/x
  3. Step 3: Cross multiply
    110,354x = 171,184 × 171,184
  4. Step 4: Simplify right side
    110,354x = 29,303,961,856
  5. Step 5: Solve for x
    x = 29,303,961,856/110,354
  6. Step 6: Final answer
    x = 265,545.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.