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Finding the Third Proportional to 44,551 and 96,065

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Solution

The third proportional to 44,551 and 96,065 is: 207,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,551 : 96,065 = 96,065 : x
  2. Step 2: Convert to fraction form
    44,551/96,065 = 96,065/x
  3. Step 3: Cross multiply
    44,551x = 96,065 × 96,065
  4. Step 4: Simplify right side
    44,551x = 9,228,484,225
  5. Step 5: Solve for x
    x = 9,228,484,225/44,551
  6. Step 6: Final answer
    x = 207,144.27

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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.