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Finding the Third Proportional to 70,696 and 152,228

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Solution

The third proportional to 70,696 and 152,228 is: 327,788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,696 : 152,228 = 152,228 : x
  2. Step 2: Convert to fraction form
    70,696/152,228 = 152,228/x
  3. Step 3: Cross multiply
    70,696x = 152,228 × 152,228
  4. Step 4: Simplify right side
    70,696x = 23,173,363,984
  5. Step 5: Solve for x
    x = 23,173,363,984/70,696
  6. Step 6: Final answer
    x = 327,788.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.