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Finding the Third Proportional to 115,708.50 and 175,014

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Solution

The third proportional to 115,708.50 and 175,014 is: 264,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,708.50 : 175,014 = 175,014 : x
  2. Step 2: Convert to fraction form
    115,708.50/175,014 = 175,014/x
  3. Step 3: Cross multiply
    115,708.50x = 175,014 × 175,014
  4. Step 4: Simplify right side
    115,708.50x = 30,629,900,196
  5. Step 5: Solve for x
    x = 30,629,900,196/115,708.50
  6. Step 6: Final answer
    x = 264,716.08

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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.