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Finding the Third Proportional to 82,950.75 and 125,106.75

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Solution

The third proportional to 82,950.75 and 125,106.75 is: 188,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,950.75 : 125,106.75 = 125,106.75 : x
  2. Step 2: Convert to fraction form
    82,950.75/125,106.75 = 125,106.75/x
  3. Step 3: Cross multiply
    82,950.75x = 125,106.75 × 125,106.75
  4. Step 4: Simplify right side
    82,950.75x = 15,651,698,895.56
  5. Step 5: Solve for x
    x = 15,651,698,895.56/82,950.75
  6. Step 6: Final answer
    x = 188,686.65

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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.