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Finding the Third Proportional to 44,004 and 89,540

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Solution

The third proportional to 44,004 and 89,540 is: 182,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,004 : 89,540 = 89,540 : x
  2. Step 2: Convert to fraction form
    44,004/89,540 = 89,540/x
  3. Step 3: Cross multiply
    44,004x = 89,540 × 89,540
  4. Step 4: Simplify right side
    44,004x = 8,017,411,600
  5. Step 5: Solve for x
    x = 8,017,411,600/44,004
  6. Step 6: Final answer
    x = 182,197.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.