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Finding the Third Proportional to 44,006 and 89,556

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Solution

The third proportional to 44,006 and 89,556 is: 182,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,006 : 89,556 = 89,556 : x
  2. Step 2: Convert to fraction form
    44,006/89,556 = 89,556/x
  3. Step 3: Cross multiply
    44,006x = 89,556 × 89,556
  4. Step 4: Simplify right side
    44,006x = 8,020,277,136
  5. Step 5: Solve for x
    x = 8,020,277,136/44,006
  6. Step 6: Final answer
    x = 182,254.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.