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Finding the Third Proportional to 115,870.50 and 151,085.25

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Solution

The third proportional to 115,870.50 and 151,085.25 is: 197,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,870.50 : 151,085.25 = 151,085.25 : x
  2. Step 2: Convert to fraction form
    115,870.50/151,085.25 = 151,085.25/x
  3. Step 3: Cross multiply
    115,870.50x = 151,085.25 × 151,085.25
  4. Step 4: Simplify right side
    115,870.50x = 22,826,752,767.56
  5. Step 5: Solve for x
    x = 22,826,752,767.56/115,870.50
  6. Step 6: Final answer
    x = 197,002.28

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.