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Finding the Third Proportional to 76,696 and 164,320

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Solution

The third proportional to 76,696 and 164,320 is: 352,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,696 : 164,320 = 164,320 : x
  2. Step 2: Convert to fraction form
    76,696/164,320 = 164,320/x
  3. Step 3: Cross multiply
    76,696x = 164,320 × 164,320
  4. Step 4: Simplify right side
    76,696x = 27,001,062,400
  5. Step 5: Solve for x
    x = 27,001,062,400/76,696
  6. Step 6: Final answer
    x = 352,053.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.