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Finding the Third Proportional to 126,490.50 and 192,327.75

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Solution

The third proportional to 126,490.50 and 192,327.75 is: 292,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,490.50 : 192,327.75 = 192,327.75 : x
  2. Step 2: Convert to fraction form
    126,490.50/192,327.75 = 192,327.75/x
  3. Step 3: Cross multiply
    126,490.50x = 192,327.75 × 192,327.75
  4. Step 4: Simplify right side
    126,490.50x = 36,989,963,420.06
  5. Step 5: Solve for x
    x = 36,989,963,420.06/126,490.50
  6. Step 6: Final answer
    x = 292,432.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.