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Finding the Third Proportional to 36,148 and 76,184

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Solution

The third proportional to 36,148 and 76,184 is: 160,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,148 : 76,184 = 76,184 : x
  2. Step 2: Convert to fraction form
    36,148/76,184 = 76,184/x
  3. Step 3: Cross multiply
    36,148x = 76,184 × 76,184
  4. Step 4: Simplify right side
    36,148x = 5,804,001,856
  5. Step 5: Solve for x
    x = 5,804,001,856/36,148
  6. Step 6: Final answer
    x = 160,562.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.