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Finding the Third Proportional to 123,792.75 and 193,088.25

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Solution

The third proportional to 123,792.75 and 193,088.25 is: 301,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,792.75 : 193,088.25 = 193,088.25 : x
  2. Step 2: Convert to fraction form
    123,792.75/193,088.25 = 193,088.25/x
  3. Step 3: Cross multiply
    123,792.75x = 193,088.25 × 193,088.25
  4. Step 4: Simplify right side
    123,792.75x = 37,283,072,288.06
  5. Step 5: Solve for x
    x = 37,283,072,288.06/123,792.75
  6. Step 6: Final answer
    x = 301,173.31

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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.