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Finding the Third Proportional to 44,058 and 89,656

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Solution

The third proportional to 44,058 and 89,656 is: 182,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,058 : 89,656 = 89,656 : x
  2. Step 2: Convert to fraction form
    44,058/89,656 = 89,656/x
  3. Step 3: Cross multiply
    44,058x = 89,656 × 89,656
  4. Step 4: Simplify right side
    44,058x = 8,038,198,336
  5. Step 5: Solve for x
    x = 8,038,198,336/44,058
  6. Step 6: Final answer
    x = 182,445.83

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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.