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Finding the Third Proportional to 58,161.38 and 120,642.75

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Solution

The third proportional to 58,161.38 and 120,642.75 is: 250,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,161.38 : 120,642.75 = 120,642.75 : x
  2. Step 2: Convert to fraction form
    58,161.38/120,642.75 = 120,642.75/x
  3. Step 3: Cross multiply
    58,161.38x = 120,642.75 × 120,642.75
  4. Step 4: Simplify right side
    58,161.38x = 14,554,673,127.56
  5. Step 5: Solve for x
    x = 14,554,673,127.56/58,161.38
  6. Step 6: Final answer
    x = 250,246.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.