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Finding the Third Proportional to 123,059.25 and 169,553.25

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Solution

The third proportional to 123,059.25 and 169,553.25 is: 233,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,059.25 : 169,553.25 = 169,553.25 : x
  2. Step 2: Convert to fraction form
    123,059.25/169,553.25 = 169,553.25/x
  3. Step 3: Cross multiply
    123,059.25x = 169,553.25 × 169,553.25
  4. Step 4: Simplify right side
    123,059.25x = 28,748,304,585.56
  5. Step 5: Solve for x
    x = 28,748,304,585.56/123,059.25
  6. Step 6: Final answer
    x = 233,613.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.