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Finding the Third Proportional to 42,086 and 89,362

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Solution

The third proportional to 42,086 and 89,362 is: 189,744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,086 : 89,362 = 89,362 : x
  2. Step 2: Convert to fraction form
    42,086/89,362 = 89,362/x
  3. Step 3: Cross multiply
    42,086x = 89,362 × 89,362
  4. Step 4: Simplify right side
    42,086x = 7,985,567,044
  5. Step 5: Solve for x
    x = 7,985,567,044/42,086
  6. Step 6: Final answer
    x = 189,744.03

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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.