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Finding the Third Proportional to 71,796 and 152,232

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Solution

The third proportional to 71,796 and 152,232 is: 322,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,796 : 152,232 = 152,232 : x
  2. Step 2: Convert to fraction form
    71,796/152,232 = 152,232/x
  3. Step 3: Cross multiply
    71,796x = 152,232 × 152,232
  4. Step 4: Simplify right side
    71,796x = 23,174,581,824
  5. Step 5: Solve for x
    x = 23,174,581,824/71,796
  6. Step 6: Final answer
    x = 322,783.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.