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Finding the Third Proportional to 172,029 and 185,151

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Solution

The third proportional to 172,029 and 185,151 is: 199,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,029 : 185,151 = 185,151 : x
  2. Step 2: Convert to fraction form
    172,029/185,151 = 185,151/x
  3. Step 3: Cross multiply
    172,029x = 185,151 × 185,151
  4. Step 4: Simplify right side
    172,029x = 34,280,892,801
  5. Step 5: Solve for x
    x = 34,280,892,801/172,029
  6. Step 6: Final answer
    x = 199,273.92

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.