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Finding the Third Proportional to 56,094 and 86,739

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Solution

The third proportional to 56,094 and 86,739 is: 134,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,094 : 86,739 = 86,739 : x
  2. Step 2: Convert to fraction form
    56,094/86,739 = 86,739/x
  3. Step 3: Cross multiply
    56,094x = 86,739 × 86,739
  4. Step 4: Simplify right side
    56,094x = 7,523,654,121
  5. Step 5: Solve for x
    x = 7,523,654,121/56,094
  6. Step 6: Final answer
    x = 134,125.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.