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Finding the Third Proportional to 70,746 and 152,916

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Solution

The third proportional to 70,746 and 152,916 is: 330,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,746 : 152,916 = 152,916 : x
  2. Step 2: Convert to fraction form
    70,746/152,916 = 152,916/x
  3. Step 3: Cross multiply
    70,746x = 152,916 × 152,916
  4. Step 4: Simplify right side
    70,746x = 23,383,303,056
  5. Step 5: Solve for x
    x = 23,383,303,056/70,746
  6. Step 6: Final answer
    x = 330,524.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.