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Finding the Third Proportional to 83,477.25 and 125,195.63

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Solution

The third proportional to 83,477.25 and 125,195.63 is: 187,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,477.25 : 125,195.63 = 125,195.63 : x
  2. Step 2: Convert to fraction form
    83,477.25/125,195.63 = 125,195.63/x
  3. Step 3: Cross multiply
    83,477.25x = 125,195.63 × 125,195.63
  4. Step 4: Simplify right side
    83,477.25x = 15,673,944,519.14
  5. Step 5: Solve for x
    x = 15,673,944,519.14/83,477.25
  6. Step 6: Final answer
    x = 187,763.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.