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Finding the Third Proportional to 121,232 and 182,960

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Solution

The third proportional to 121,232 and 182,960 is: 276,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,232 : 182,960 = 182,960 : x
  2. Step 2: Convert to fraction form
    121,232/182,960 = 182,960/x
  3. Step 3: Cross multiply
    121,232x = 182,960 × 182,960
  4. Step 4: Simplify right side
    121,232x = 33,474,361,600
  5. Step 5: Solve for x
    x = 33,474,361,600/121,232
  6. Step 6: Final answer
    x = 276,118.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.