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Finding the Third Proportional to 85,656 and 136,404

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Solution

The third proportional to 85,656 and 136,404 is: 217,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,656 : 136,404 = 136,404 : x
  2. Step 2: Convert to fraction form
    85,656/136,404 = 136,404/x
  3. Step 3: Cross multiply
    85,656x = 136,404 × 136,404
  4. Step 4: Simplify right side
    85,656x = 18,606,051,216
  5. Step 5: Solve for x
    x = 18,606,051,216/85,656
  6. Step 6: Final answer
    x = 217,218.31

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.