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Finding the Third Proportional to 136,171.13 and 291,036.38

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Solution

The third proportional to 136,171.13 and 291,036.38 is: 622,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,171.13 : 291,036.38 = 291,036.38 : x
  2. Step 2: Convert to fraction form
    136,171.13/291,036.38 = 291,036.38/x
  3. Step 3: Cross multiply
    136,171.13x = 291,036.38 × 291,036.38
  4. Step 4: Simplify right side
    136,171.13x = 84,702,171,573.14
  5. Step 5: Solve for x
    x = 84,702,171,573.14/136,171.13
  6. Step 6: Final answer
    x = 622,027.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.