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Finding the Third Proportional to 136,572.75 and 206,763.75

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Solution

The third proportional to 136,572.75 and 206,763.75 is: 313,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,572.75 : 206,763.75 = 206,763.75 : x
  2. Step 2: Convert to fraction form
    136,572.75/206,763.75 = 206,763.75/x
  3. Step 3: Cross multiply
    136,572.75x = 206,763.75 × 206,763.75
  4. Step 4: Simplify right side
    136,572.75x = 42,751,248,314.06
  5. Step 5: Solve for x
    x = 42,751,248,314.06/136,572.75
  6. Step 6: Final answer
    x = 313,029.12

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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.