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Finding the Third Proportional to 42,109.75 and 61,593.75

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Solution

The third proportional to 42,109.75 and 61,593.75 is: 90,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,109.75 : 61,593.75 = 61,593.75 : x
  2. Step 2: Convert to fraction form
    42,109.75/61,593.75 = 61,593.75/x
  3. Step 3: Cross multiply
    42,109.75x = 61,593.75 × 61,593.75
  4. Step 4: Simplify right side
    42,109.75x = 3,793,790,039.06
  5. Step 5: Solve for x
    x = 3,793,790,039.06/42,109.75
  6. Step 6: Final answer
    x = 90,092.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.