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Finding the Third Proportional to 42,459 and 89,975

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Solution

The third proportional to 42,459 and 89,975 is: 190,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,459 : 89,975 = 89,975 : x
  2. Step 2: Convert to fraction form
    42,459/89,975 = 89,975/x
  3. Step 3: Cross multiply
    42,459x = 89,975 × 89,975
  4. Step 4: Simplify right side
    42,459x = 8,095,500,625
  5. Step 5: Solve for x
    x = 8,095,500,625/42,459
  6. Step 6: Final answer
    x = 190,666.30

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