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Finding the Third Proportional to 115,693.88 and 174,773.63

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Solution

The third proportional to 115,693.88 and 174,773.63 is: 264,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,693.88 : 174,773.63 = 174,773.63 : x
  2. Step 2: Convert to fraction form
    115,693.88/174,773.63 = 174,773.63/x
  3. Step 3: Cross multiply
    115,693.88x = 174,773.63 × 174,773.63
  4. Step 4: Simplify right side
    115,693.88x = 30,545,819,995.64
  5. Step 5: Solve for x
    x = 30,545,819,995.64/115,693.88
  6. Step 6: Final answer
    x = 264,022.79

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Why These Related Problems?

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