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Finding the Third Proportional to 123,288.75 and 181,045.13

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Solution

The third proportional to 123,288.75 and 181,045.13 is: 265,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,288.75 : 181,045.13 = 181,045.13 : x
  2. Step 2: Convert to fraction form
    123,288.75/181,045.13 = 181,045.13/x
  3. Step 3: Cross multiply
    123,288.75x = 181,045.13 × 181,045.13
  4. Step 4: Simplify right side
    123,288.75x = 32,777,337,286.27
  5. Step 5: Solve for x
    x = 32,777,337,286.27/123,288.75
  6. Step 6: Final answer
    x = 265,858.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.