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Finding the Third Proportional to 77,696 and 166,470

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Solution

The third proportional to 77,696 and 166,470 is: 356,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,696 : 166,470 = 166,470 : x
  2. Step 2: Convert to fraction form
    77,696/166,470 = 166,470/x
  3. Step 3: Cross multiply
    77,696x = 166,470 × 166,470
  4. Step 4: Simplify right side
    77,696x = 27,712,260,900
  5. Step 5: Solve for x
    x = 27,712,260,900/77,696
  6. Step 6: Final answer
    x = 356,675.52

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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.