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Finding the Third Proportional to 42,241.50 and 89,643

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Solution

The third proportional to 42,241.50 and 89,643 is: 190,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,241.50 : 89,643 = 89,643 : x
  2. Step 2: Convert to fraction form
    42,241.50/89,643 = 89,643/x
  3. Step 3: Cross multiply
    42,241.50x = 89,643 × 89,643
  4. Step 4: Simplify right side
    42,241.50x = 8,035,867,449
  5. Step 5: Solve for x
    x = 8,035,867,449/42,241.50
  6. Step 6: Final answer
    x = 190,236.32

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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.