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Finding the Third Proportional to 108,128 and 172,184

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Solution

The third proportional to 108,128 and 172,184 is: 274,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,128 : 172,184 = 172,184 : x
  2. Step 2: Convert to fraction form
    108,128/172,184 = 172,184/x
  3. Step 3: Cross multiply
    108,128x = 172,184 × 172,184
  4. Step 4: Simplify right side
    108,128x = 29,647,329,856
  5. Step 5: Solve for x
    x = 29,647,329,856/108,128
  6. Step 6: Final answer
    x = 274,187.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.