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Finding the Third Proportional to 121,950 and 188,733

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Solution

The third proportional to 121,950 and 188,733 is: 292,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,950 : 188,733 = 188,733 : x
  2. Step 2: Convert to fraction form
    121,950/188,733 = 188,733/x
  3. Step 3: Cross multiply
    121,950x = 188,733 × 188,733
  4. Step 4: Simplify right side
    121,950x = 35,620,145,289
  5. Step 5: Solve for x
    x = 35,620,145,289/121,950
  6. Step 6: Final answer
    x = 292,088.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.