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Finding the Third Proportional to 56,016 and 88,739

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Solution

The third proportional to 56,016 and 88,739 is: 140,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,016 : 88,739 = 88,739 : x
  2. Step 2: Convert to fraction form
    56,016/88,739 = 88,739/x
  3. Step 3: Cross multiply
    56,016x = 88,739 × 88,739
  4. Step 4: Simplify right side
    56,016x = 7,874,610,121
  5. Step 5: Solve for x
    x = 7,874,610,121/56,016
  6. Step 6: Final answer
    x = 140,577.87

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.