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Finding the Third Proportional to 126,523.13 and 191,091.94

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Solution

The third proportional to 126,523.13 and 191,091.94 is: 288,612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,523.13 : 191,091.94 = 191,091.94 : x
  2. Step 2: Convert to fraction form
    126,523.13/191,091.94 = 191,091.94/x
  3. Step 3: Cross multiply
    126,523.13x = 191,091.94 × 191,091.94
  4. Step 4: Simplify right side
    126,523.13x = 36,516,128,577.50
  5. Step 5: Solve for x
    x = 36,516,128,577.50/126,523.13
  6. Step 6: Final answer
    x = 288,612.29

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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.