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Finding the Third Proportional to 121,088 and 179,904

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Solution

The third proportional to 121,088 and 179,904 is: 267,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,088 : 179,904 = 179,904 : x
  2. Step 2: Convert to fraction form
    121,088/179,904 = 179,904/x
  3. Step 3: Cross multiply
    121,088x = 179,904 × 179,904
  4. Step 4: Simplify right side
    121,088x = 32,365,449,216
  5. Step 5: Solve for x
    x = 32,365,449,216/121,088
  6. Step 6: Final answer
    x = 267,288.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.