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Finding the Third Proportional to 34,202 and 77,184

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Solution

The third proportional to 34,202 and 77,184 is: 174,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,202 : 77,184 = 77,184 : x
  2. Step 2: Convert to fraction form
    34,202/77,184 = 77,184/x
  3. Step 3: Cross multiply
    34,202x = 77,184 × 77,184
  4. Step 4: Simplify right side
    34,202x = 5,957,369,856
  5. Step 5: Solve for x
    x = 5,957,369,856/34,202
  6. Step 6: Final answer
    x = 174,181.91

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.