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Finding the Third Proportional to 92,148.75 and 123,830.44

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Solution

The third proportional to 92,148.75 and 123,830.44 is: 166,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,148.75 : 123,830.44 = 123,830.44 : x
  2. Step 2: Convert to fraction form
    92,148.75/123,830.44 = 123,830.44/x
  3. Step 3: Cross multiply
    92,148.75x = 123,830.44 × 123,830.44
  4. Step 4: Simplify right side
    92,148.75x = 15,333,977,251.44
  5. Step 5: Solve for x
    x = 15,333,977,251.44/92,148.75
  6. Step 6: Final answer
    x = 166,404.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.