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Finding the Third Proportional to 121,230 and 192,505.50

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Solution

The third proportional to 121,230 and 192,505.50 is: 305,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,230 : 192,505.50 = 192,505.50 : x
  2. Step 2: Convert to fraction form
    121,230/192,505.50 = 192,505.50/x
  3. Step 3: Cross multiply
    121,230x = 192,505.50 × 192,505.50
  4. Step 4: Simplify right side
    121,230x = 37,058,367,530.25
  5. Step 5: Solve for x
    x = 37,058,367,530.25/121,230
  6. Step 6: Final answer
    x = 305,686.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.