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Finding the Third Proportional to 42,459 and 89,049

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Solution

The third proportional to 42,459 and 89,049 is: 186,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,459 : 89,049 = 89,049 : x
  2. Step 2: Convert to fraction form
    42,459/89,049 = 89,049/x
  3. Step 3: Cross multiply
    42,459x = 89,049 × 89,049
  4. Step 4: Simplify right side
    42,459x = 7,929,724,401
  5. Step 5: Solve for x
    x = 7,929,724,401/42,459
  6. Step 6: Final answer
    x = 186,761.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.