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Finding the Third Proportional to 74,796 and 109,980

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Solution

The third proportional to 74,796 and 109,980 is: 161,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,796 : 109,980 = 109,980 : x
  2. Step 2: Convert to fraction form
    74,796/109,980 = 109,980/x
  3. Step 3: Cross multiply
    74,796x = 109,980 × 109,980
  4. Step 4: Simplify right side
    74,796x = 12,095,600,400
  5. Step 5: Solve for x
    x = 12,095,600,400/74,796
  6. Step 6: Final answer
    x = 161,714.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.