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Finding the Third Proportional to 81,447 and 175,206

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Solution

The third proportional to 81,447 and 175,206 is: 376,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,447 : 175,206 = 175,206 : x
  2. Step 2: Convert to fraction form
    81,447/175,206 = 175,206/x
  3. Step 3: Cross multiply
    81,447x = 175,206 × 175,206
  4. Step 4: Simplify right side
    81,447x = 30,697,142,436
  5. Step 5: Solve for x
    x = 30,697,142,436/81,447
  6. Step 6: Final answer
    x = 376,897.15

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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.