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Finding the Third Proportional to 96,696 and 147,924

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Solution

The third proportional to 96,696 and 147,924 is: 226,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,696 : 147,924 = 147,924 : x
  2. Step 2: Convert to fraction form
    96,696/147,924 = 147,924/x
  3. Step 3: Cross multiply
    96,696x = 147,924 × 147,924
  4. Step 4: Simplify right side
    96,696x = 21,881,509,776
  5. Step 5: Solve for x
    x = 21,881,509,776/96,696
  6. Step 6: Final answer
    x = 226,291.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.