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Finding the Third Proportional to 61,009 and 90,979

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Solution

The third proportional to 61,009 and 90,979 is: 135,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,009 : 90,979 = 90,979 : x
  2. Step 2: Convert to fraction form
    61,009/90,979 = 90,979/x
  3. Step 3: Cross multiply
    61,009x = 90,979 × 90,979
  4. Step 4: Simplify right side
    61,009x = 8,277,178,441
  5. Step 5: Solve for x
    x = 8,277,178,441/61,009
  6. Step 6: Final answer
    x = 135,671.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.