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Finding the Third Proportional to 67,696 and 148,888

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Solution

The third proportional to 67,696 and 148,888 is: 327,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,696 : 148,888 = 148,888 : x
  2. Step 2: Convert to fraction form
    67,696/148,888 = 148,888/x
  3. Step 3: Cross multiply
    67,696x = 148,888 × 148,888
  4. Step 4: Simplify right side
    67,696x = 22,167,636,544
  5. Step 5: Solve for x
    x = 22,167,636,544/67,696
  6. Step 6: Final answer
    x = 327,458.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.