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Finding the Third Proportional to 44,375 and 96,526

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Solution

The third proportional to 44,375 and 96,526 is: 209,966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,375 : 96,526 = 96,526 : x
  2. Step 2: Convert to fraction form
    44,375/96,526 = 96,526/x
  3. Step 3: Cross multiply
    44,375x = 96,526 × 96,526
  4. Step 4: Simplify right side
    44,375x = 9,317,268,676
  5. Step 5: Solve for x
    x = 9,317,268,676/44,375
  6. Step 6: Final answer
    x = 209,966.62

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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.