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Finding the Third Proportional to 59,450.63 and 123,822

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Solution

The third proportional to 59,450.63 and 123,822 is: 257,892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,450.63 : 123,822 = 123,822 : x
  2. Step 2: Convert to fraction form
    59,450.63/123,822 = 123,822/x
  3. Step 3: Cross multiply
    59,450.63x = 123,822 × 123,822
  4. Step 4: Simplify right side
    59,450.63x = 15,331,887,684
  5. Step 5: Solve for x
    x = 15,331,887,684/59,450.63
  6. Step 6: Final answer
    x = 257,892.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.