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Finding the Third Proportional to 61,305 and 82,383.75

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Solution

The third proportional to 61,305 and 82,383.75 is: 110,710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,305 : 82,383.75 = 82,383.75 : x
  2. Step 2: Convert to fraction form
    61,305/82,383.75 = 82,383.75/x
  3. Step 3: Cross multiply
    61,305x = 82,383.75 × 82,383.75
  4. Step 4: Simplify right side
    61,305x = 6,787,082,264.06
  5. Step 5: Solve for x
    x = 6,787,082,264.06/61,305
  6. Step 6: Final answer
    x = 110,710.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.