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Finding the Third Proportional to 53,318.25 and 123,433.88

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Solution

The third proportional to 53,318.25 and 123,433.88 is: 285,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,318.25 : 123,433.88 = 123,433.88 : x
  2. Step 2: Convert to fraction form
    53,318.25/123,433.88 = 123,433.88/x
  3. Step 3: Cross multiply
    53,318.25x = 123,433.88 × 123,433.88
  4. Step 4: Simplify right side
    53,318.25x = 15,235,921,497.52
  5. Step 5: Solve for x
    x = 15,235,921,497.52/53,318.25
  6. Step 6: Final answer
    x = 285,754.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.