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Finding the Third Proportional to 83,838.38 and 126,840.94

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Solution

The third proportional to 83,838.38 and 126,840.94 is: 191,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,838.38 : 126,840.94 = 126,840.94 : x
  2. Step 2: Convert to fraction form
    83,838.38/126,840.94 = 126,840.94/x
  3. Step 3: Cross multiply
    83,838.38x = 126,840.94 × 126,840.94
  4. Step 4: Simplify right side
    83,838.38x = 16,088,623,425.88
  5. Step 5: Solve for x
    x = 16,088,623,425.88/83,838.38
  6. Step 6: Final answer
    x = 191,900.47

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1.5x scale

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.