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Finding the Third Proportional to 103,715.44 and 160,182.56

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Solution

The third proportional to 103,715.44 and 160,182.56 is: 247,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,715.44 : 160,182.56 = 160,182.56 : x
  2. Step 2: Convert to fraction form
    103,715.44/160,182.56 = 160,182.56/x
  3. Step 3: Cross multiply
    103,715.44x = 160,182.56 × 160,182.56
  4. Step 4: Simplify right side
    103,715.44x = 25,658,453,329.07
  5. Step 5: Solve for x
    x = 25,658,453,329.07/103,715.44
  6. Step 6: Final answer
    x = 247,392.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.