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Finding the Third Proportional to 115,429.50 and 173,904.75

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Solution

The third proportional to 115,429.50 and 173,904.75 is: 262,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,429.50 : 173,904.75 = 173,904.75 : x
  2. Step 2: Convert to fraction form
    115,429.50/173,904.75 = 173,904.75/x
  3. Step 3: Cross multiply
    115,429.50x = 173,904.75 × 173,904.75
  4. Step 4: Simplify right side
    115,429.50x = 30,242,862,072.56
  5. Step 5: Solve for x
    x = 30,242,862,072.56/115,429.50
  6. Step 6: Final answer
    x = 262,002.89

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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.