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Finding the Third Proportional to 124,215.75 and 192,696.75

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Solution

The third proportional to 124,215.75 and 192,696.75 is: 298,931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,215.75 : 192,696.75 = 192,696.75 : x
  2. Step 2: Convert to fraction form
    124,215.75/192,696.75 = 192,696.75/x
  3. Step 3: Cross multiply
    124,215.75x = 192,696.75 × 192,696.75
  4. Step 4: Simplify right side
    124,215.75x = 37,132,037,460.56
  5. Step 5: Solve for x
    x = 37,132,037,460.56/124,215.75
  6. Step 6: Final answer
    x = 298,931.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.