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Finding the Third Proportional to 42,319.50 and 91,011

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Solution

The third proportional to 42,319.50 and 91,011 is: 195,725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,319.50 : 91,011 = 91,011 : x
  2. Step 2: Convert to fraction form
    42,319.50/91,011 = 91,011/x
  3. Step 3: Cross multiply
    42,319.50x = 91,011 × 91,011
  4. Step 4: Simplify right side
    42,319.50x = 8,283,002,121
  5. Step 5: Solve for x
    x = 8,283,002,121/42,319.50
  6. Step 6: Final answer
    x = 195,725.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.