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Finding the Third Proportional to 126,331.95 and 189,302.91

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Solution

The third proportional to 126,331.95 and 189,302.91 is: 283,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,331.95 : 189,302.91 = 189,302.91 : x
  2. Step 2: Convert to fraction form
    126,331.95/189,302.91 = 189,302.91/x
  3. Step 3: Cross multiply
    126,331.95x = 189,302.91 × 189,302.91
  4. Step 4: Simplify right side
    126,331.95x = 35,835,590,314.70
  5. Step 5: Solve for x
    x = 35,835,590,314.70/126,331.95
  6. Step 6: Final answer
    x = 283,662.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.