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Finding the Third Proportional to 44,372 and 96,520

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Solution

The third proportional to 44,372 and 96,520 is: 209,954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,372 : 96,520 = 96,520 : x
  2. Step 2: Convert to fraction form
    44,372/96,520 = 96,520/x
  3. Step 3: Cross multiply
    44,372x = 96,520 × 96,520
  4. Step 4: Simplify right side
    44,372x = 9,316,110,400
  5. Step 5: Solve for x
    x = 9,316,110,400/44,372
  6. Step 6: Final answer
    x = 209,954.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.