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Finding the Third Proportional to 48,756 and 105,095

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Solution

The third proportional to 48,756 and 105,095 is: 226,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,756 : 105,095 = 105,095 : x
  2. Step 2: Convert to fraction form
    48,756/105,095 = 105,095/x
  3. Step 3: Cross multiply
    48,756x = 105,095 × 105,095
  4. Step 4: Simplify right side
    48,756x = 11,044,959,025
  5. Step 5: Solve for x
    x = 11,044,959,025/48,756
  6. Step 6: Final answer
    x = 226,535.38

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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.