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Finding the Third Proportional to 44,116 and 68,363

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Solution

The third proportional to 44,116 and 68,363 is: 105,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,116 : 68,363 = 68,363 : x
  2. Step 2: Convert to fraction form
    44,116/68,363 = 68,363/x
  3. Step 3: Cross multiply
    44,116x = 68,363 × 68,363
  4. Step 4: Simplify right side
    44,116x = 4,673,499,769
  5. Step 5: Solve for x
    x = 4,673,499,769/44,116
  6. Step 6: Final answer
    x = 105,936.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.