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Finding the Third Proportional to 133,589.25 and 201,659.63

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Solution

The third proportional to 133,589.25 and 201,659.63 is: 304,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,589.25 : 201,659.63 = 201,659.63 : x
  2. Step 2: Convert to fraction form
    133,589.25/201,659.63 = 201,659.63/x
  3. Step 3: Cross multiply
    133,589.25x = 201,659.63 × 201,659.63
  4. Step 4: Simplify right side
    133,589.25x = 40,666,604,355.14
  5. Step 5: Solve for x
    x = 40,666,604,355.14/133,589.25
  6. Step 6: Final answer
    x = 304,415.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.