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Finding the Third Proportional to 80,155 and 172,101

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Solution

The third proportional to 80,155 and 172,101 is: 369,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,155 : 172,101 = 172,101 : x
  2. Step 2: Convert to fraction form
    80,155/172,101 = 172,101/x
  3. Step 3: Cross multiply
    80,155x = 172,101 × 172,101
  4. Step 4: Simplify right side
    80,155x = 29,618,754,201
  5. Step 5: Solve for x
    x = 29,618,754,201/80,155
  6. Step 6: Final answer
    x = 369,518.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.