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Finding the Third Proportional to 82,273 and 174,927

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Solution

The third proportional to 82,273 and 174,927 is: 371,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,273 : 174,927 = 174,927 : x
  2. Step 2: Convert to fraction form
    82,273/174,927 = 174,927/x
  3. Step 3: Cross multiply
    82,273x = 174,927 × 174,927
  4. Step 4: Simplify right side
    82,273x = 30,599,455,329
  5. Step 5: Solve for x
    x = 30,599,455,329/82,273
  6. Step 6: Final answer
    x = 371,925.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.