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Finding the Third Proportional to 123,636.94 and 192,678.19

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Solution

The third proportional to 123,636.94 and 192,678.19 is: 300,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,636.94 : 192,678.19 = 192,678.19 : x
  2. Step 2: Convert to fraction form
    123,636.94/192,678.19 = 192,678.19/x
  3. Step 3: Cross multiply
    123,636.94x = 192,678.19 × 192,678.19
  4. Step 4: Simplify right side
    123,636.94x = 37,124,883,938.29
  5. Step 5: Solve for x
    x = 37,124,883,938.29/123,636.94
  6. Step 6: Final answer
    x = 300,273.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.