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Finding the Third Proportional to 42,466.50 and 89,991

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Solution

The third proportional to 42,466.50 and 89,991 is: 190,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,466.50 : 89,991 = 89,991 : x
  2. Step 2: Convert to fraction form
    42,466.50/89,991 = 89,991/x
  3. Step 3: Cross multiply
    42,466.50x = 89,991 × 89,991
  4. Step 4: Simplify right side
    42,466.50x = 8,098,380,081
  5. Step 5: Solve for x
    x = 8,098,380,081/42,466.50
  6. Step 6: Final answer
    x = 190,700.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.