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Finding the Third Proportional to 42,573 and 89,556

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Solution

The third proportional to 42,573 and 89,556 is: 188,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,573 : 89,556 = 89,556 : x
  2. Step 2: Convert to fraction form
    42,573/89,556 = 89,556/x
  3. Step 3: Cross multiply
    42,573x = 89,556 × 89,556
  4. Step 4: Simplify right side
    42,573x = 8,020,277,136
  5. Step 5: Solve for x
    x = 8,020,277,136/42,573
  6. Step 6: Final answer
    x = 188,388.82

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