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Finding the Third Proportional to 117,519.75 and 171,357.75

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Solution

The third proportional to 117,519.75 and 171,357.75 is: 249,859.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,519.75 : 171,357.75 = 171,357.75 : x
  2. Step 2: Convert to fraction form
    117,519.75/171,357.75 = 171,357.75/x
  3. Step 3: Cross multiply
    117,519.75x = 171,357.75 × 171,357.75
  4. Step 4: Simplify right side
    117,519.75x = 29,363,478,485.06
  5. Step 5: Solve for x
    x = 29,363,478,485.06/117,519.75
  6. Step 6: Final answer
    x = 249,859.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.