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Finding the Third Proportional to 57,705.38 and 130,227.63

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Solution

The third proportional to 57,705.38 and 130,227.63 is: 293,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,705.38 : 130,227.63 = 130,227.63 : x
  2. Step 2: Convert to fraction form
    57,705.38/130,227.63 = 130,227.63/x
  3. Step 3: Cross multiply
    57,705.38x = 130,227.63 × 130,227.63
  4. Step 4: Simplify right side
    57,705.38x = 16,959,234,313.14
  5. Step 5: Solve for x
    x = 16,959,234,313.14/57,705.38
  6. Step 6: Final answer
    x = 293,893.49

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.