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Finding the Third Proportional to 82,931 and 177,696

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Solution

The third proportional to 82,931 and 177,696 is: 380,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,931 : 177,696 = 177,696 : x
  2. Step 2: Convert to fraction form
    82,931/177,696 = 177,696/x
  3. Step 3: Cross multiply
    82,931x = 177,696 × 177,696
  4. Step 4: Simplify right side
    82,931x = 31,575,868,416
  5. Step 5: Solve for x
    x = 31,575,868,416/82,931
  6. Step 6: Final answer
    x = 380,748.68

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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.