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Finding the Third Proportional to 70,696 and 153,831

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Solution

The third proportional to 70,696 and 153,831 is: 334,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,696 : 153,831 = 153,831 : x
  2. Step 2: Convert to fraction form
    70,696/153,831 = 153,831/x
  3. Step 3: Cross multiply
    70,696x = 153,831 × 153,831
  4. Step 4: Simplify right side
    70,696x = 23,663,976,561
  5. Step 5: Solve for x
    x = 23,663,976,561/70,696
  6. Step 6: Final answer
    x = 334,728.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.