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Finding the Third Proportional to 44,426 and 95,965

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Solution

The third proportional to 44,426 and 95,965 is: 207,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,426 : 95,965 = 95,965 : x
  2. Step 2: Convert to fraction form
    44,426/95,965 = 95,965/x
  3. Step 3: Cross multiply
    44,426x = 95,965 × 95,965
  4. Step 4: Simplify right side
    44,426x = 9,209,281,225
  5. Step 5: Solve for x
    x = 9,209,281,225/44,426
  6. Step 6: Final answer
    x = 207,294.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.