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Finding the Third Proportional to 115,693.31 and 174,772.69

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Solution

The third proportional to 115,693.31 and 174,772.69 is: 264,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,693.31 : 174,772.69 = 174,772.69 : x
  2. Step 2: Convert to fraction form
    115,693.31/174,772.69 = 174,772.69/x
  3. Step 3: Cross multiply
    115,693.31x = 174,772.69 × 174,772.69
  4. Step 4: Simplify right side
    115,693.31x = 30,545,492,295.97
  5. Step 5: Solve for x
    x = 30,545,492,295.97/115,693.31
  6. Step 6: Final answer
    x = 264,021.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.