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Finding the Third Proportional to 53,316.75 and 123,429.75

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Solution

The third proportional to 53,316.75 and 123,429.75 is: 285,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,316.75 : 123,429.75 = 123,429.75 : x
  2. Step 2: Convert to fraction form
    53,316.75/123,429.75 = 123,429.75/x
  3. Step 3: Cross multiply
    53,316.75x = 123,429.75 × 123,429.75
  4. Step 4: Simplify right side
    53,316.75x = 15,234,903,185.06
  5. Step 5: Solve for x
    x = 15,234,903,185.06/53,316.75
  6. Step 6: Final answer
    x = 285,743.28

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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.