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Finding the Third Proportional to 39,714 and 85,184

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Solution

The third proportional to 39,714 and 85,184 is: 182,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,714 : 85,184 = 85,184 : x
  2. Step 2: Convert to fraction form
    39,714/85,184 = 85,184/x
  3. Step 3: Cross multiply
    39,714x = 85,184 × 85,184
  4. Step 4: Simplify right side
    39,714x = 7,256,313,856
  5. Step 5: Solve for x
    x = 7,256,313,856/39,714
  6. Step 6: Final answer
    x = 182,714.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.