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Finding the Third Proportional to 55,739 and 87,308

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Solution

The third proportional to 55,739 and 87,308 is: 136,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,739 : 87,308 = 87,308 : x
  2. Step 2: Convert to fraction form
    55,739/87,308 = 87,308/x
  3. Step 3: Cross multiply
    55,739x = 87,308 × 87,308
  4. Step 4: Simplify right side
    55,739x = 7,622,686,864
  5. Step 5: Solve for x
    x = 7,622,686,864/55,739
  6. Step 6: Final answer
    x = 136,756.79

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.