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Finding the Third Proportional to 61,829.44 and 92,703.38

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Solution

The third proportional to 61,829.44 and 92,703.38 is: 138,993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,829.44 : 92,703.38 = 92,703.38 : x
  2. Step 2: Convert to fraction form
    61,829.44/92,703.38 = 92,703.38/x
  3. Step 3: Cross multiply
    61,829.44x = 92,703.38 × 92,703.38
  4. Step 4: Simplify right side
    61,829.44x = 8,593,915,736.39
  5. Step 5: Solve for x
    x = 8,593,915,736.39/61,829.44
  6. Step 6: Final answer
    x = 138,993.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.