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Finding the Third Proportional to 61,979 and 81,851

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Solution

The third proportional to 61,979 and 81,851 is: 108,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,979 : 81,851 = 81,851 : x
  2. Step 2: Convert to fraction form
    61,979/81,851 = 81,851/x
  3. Step 3: Cross multiply
    61,979x = 81,851 × 81,851
  4. Step 4: Simplify right side
    61,979x = 6,699,586,201
  5. Step 5: Solve for x
    x = 6,699,586,201/61,979
  6. Step 6: Final answer
    x = 108,094.45

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.