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Finding the Third Proportional to 68,976 and 105,470

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Solution

The third proportional to 68,976 and 105,470 is: 161,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,976 : 105,470 = 105,470 : x
  2. Step 2: Convert to fraction form
    68,976/105,470 = 105,470/x
  3. Step 3: Cross multiply
    68,976x = 105,470 × 105,470
  4. Step 4: Simplify right side
    68,976x = 11,123,920,900
  5. Step 5: Solve for x
    x = 11,123,920,900/68,976
  6. Step 6: Final answer
    x = 161,272.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.