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Finding the Third Proportional to 52,012.13 and 123,571.13

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Solution

The third proportional to 52,012.13 and 123,571.13 is: 293,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,012.13 : 123,571.13 = 123,571.13 : x
  2. Step 2: Convert to fraction form
    52,012.13/123,571.13 = 123,571.13/x
  3. Step 3: Cross multiply
    52,012.13x = 123,571.13 × 123,571.13
  4. Step 4: Simplify right side
    52,012.13x = 15,269,822,933.77
  5. Step 5: Solve for x
    x = 15,269,822,933.77/52,012.13
  6. Step 6: Final answer
    x = 293,581.99

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.