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Finding the Third Proportional to 102,560 and 220,736

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Solution

The third proportional to 102,560 and 220,736 is: 475,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,560 : 220,736 = 220,736 : x
  2. Step 2: Convert to fraction form
    102,560/220,736 = 220,736/x
  3. Step 3: Cross multiply
    102,560x = 220,736 × 220,736
  4. Step 4: Simplify right side
    102,560x = 48,724,381,696
  5. Step 5: Solve for x
    x = 48,724,381,696/102,560
  6. Step 6: Final answer
    x = 475,081.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.