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Finding the Third Proportional to 103,578.75 and 156,768.38

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Solution

The third proportional to 103,578.75 and 156,768.38 is: 237,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,578.75 : 156,768.38 = 156,768.38 : x
  2. Step 2: Convert to fraction form
    103,578.75/156,768.38 = 156,768.38/x
  3. Step 3: Cross multiply
    103,578.75x = 156,768.38 × 156,768.38
  4. Step 4: Simplify right side
    103,578.75x = 24,576,323,400.14
  5. Step 5: Solve for x
    x = 24,576,323,400.14/103,578.75
  6. Step 6: Final answer
    x = 237,271.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.